Determination and Quantification of Proximate and Mineral Composition for 20 Improved Sorghum Varieties Grown in Machache, Lesotho

Twenty varieties of improved sorghum were grown in Machache at the Department of Agricultural Research station, located (29˚22'60"S and 27˚52'0"E) in the central foothills of Lesotho in Maseru district. The varieties were planted in a randomized complete block design. At maturity, they were harvested, dried, threshed, milled and analyzed in the crop science laboratory at the National University of Lesotho. The proximate and mineral contents were analyzed from samples in a completely randomized design with three replicates. The proximate composition parameters measured were crude proteins, crude fiber, crude fat, moisture content, and carbohydrates. The minerals analyzed were, phosphorus, sodium, calcium, magnesium, potassium, copper, zinc, iron, and magnesium. The results showed the nutritional contents ranging from (4.7% - 16.16%), (0.35% - 2.10%), (1.25% - 4.00%), (71.60% - 84.06%), (5.53% - 10.18%), for protein, fat, fiber and carbohydrate, and moisture content, respectively. Mineral content ranged from (1342.96 - 3500.34 mg/kg), (25.97 - 185.25 mg/kg), (50.71 - 511.71 mg/kg), (29.35 - 4542.13 mg/kg), (577.19 - 3041.52 mg/kg), (0.25 - 4.07 mg/kg), (1.96 - 18.61 mg/kg), (67.14 - 122.96 mg/kg), (4.73 - 11.39 mg/kg) for phosphorus, sodium, calcium, magnesium, potassium, copper, zinc, iron, and manganese respectively. The following varieties were found to have the highest and appreciable amounts of nutrients and minerals that are crucial in the country diet;protein content was KARI Mtama 1, zinc, IESX 16 2533-SB-SSI-19, and iron IESX 16 2535-SB-SSI-34.

Proximate Composition of Leaves of the African Rosewood (Pterocarpus erinaceus)

Plants have always been exploited worldwide for food, medicines, shelter, and other purposes because they are readily available, affordable and acceptable to a large populace of the world. The study was conducted to gather information on the proximate composition of fresh and dry leaves of Pterocarpus erinaceus. The proximate composition of the leaf samples was determined using the standard methods of analysis of the Association of Official Analytical Chemists (AOAC). Proximate analysis of the fresh leaf samples of the plant shows a higher moisture content compared to the dry leaf samples. The total fat and total ash contents of the fresh leaf samples were however lower compared to values recorded for the dry leaf samples. The dry matter content of fresh leaf samples was also lower compared to that of the dry leaf samples. Fresh leaf samples again recorded the least crude protein content compared to dry leaf samples. Carbohydrates content in fresh leaf samples was higher compared to dry leaf samples. Generally, higher proximate values were recorded for dry leaf samples than for fresh leaves. Dry matter and moisture contents were detected in high quantities in both fresh and dry leaf samples of P. erinaceus. These results could be a justification for the multiple uses of the plant leaves across Sub-Saharan Africa. Further research should be carried out on the mineral, phytochemical and vitamin composition between the fresh and dry leaves of the plant.

应用PROXIMATE直线型切割吻合器行新生儿、小婴儿先天性巨结肠根治术

先天性巨结肠是一种较常见的胃肠道发育畸形.主要以肠管神经节细胞缺乏为特征[1～4].我院新生儿外科自1997年2月-2001年10月引进美国Johnson医疗器械公司的PROXIMATE直线型切割吻合器(TLC-75,TLC-55),应用Duhamel的改良术式Ikeda法根治新生儿及小婴儿先天性巨结肠46例,术后跟踪随访,临床疗效满意,报道如下.

Comparison of two kinds of approximate proximal point algorithms for monotone variational inequalities

This paper proposes two kinds of approximate proximal point algorithms （APPA） for monotone variational inequalities, both of which can be viewed as two extended versions of Solodov and Svaiter＇s APPA in the paper ＂Error bounds for proximal point subproblems and associated inexact proximal point algorithms＂ published in 2000. They are both prediction- correction methods which use the same inexactness restriction; the only difference is that they use different search directions in the correction steps. This paper also chooses an optimal step size in the two versions of the APPA to improve the profit at each iteration. Analysis also shows that the two APPAs are globally convergent under appropriate assumptions, and we can expect algorithm 2 to get more progress in every iteration than algorithm 1. Numerical experiments indicate that algorithm 2 is more efficient than algorithm 1 with the same correction step size,

Studies on the seasonal variations in the proximate composition of ascidians from the Palk Bay,Southeast coast of India

Objective:To investigate the seasonal fluctuations of the proximate composition of the ascidians muscle.Methods:The moisture content was estimated by drying 1 g of fresh tissue at a constant temperature at 105(?)for 24 h.The loss of weight was taken as moisture content.The total protein was estimated using the Biuret method.The total carbohydrate in dried sample was estimated spectrophotometrically following the phenol-sulphuric acid method.The lipid in the dried sample tissue was gravimetrically estimated following the chloroform-methanol mixture method.Ash content was determined gravimetrically by incinerating 1 g dried sample in muffle furnace at about 550℃for 6 h and results are expressed in percentage.Results:It was found very difficult to compare the monthly variations,as all the ten species,exhibited wide fluctuations in their proximate compositions.For the sake of convenience,average seasonal values were calculated by summing the monthly values.Conclusions:The proximate composition of the 10 commonly available ascidians showed high nutritive value and hence these groups especially solitary ascidians can be recommended for human consumption in terms of pickles,soup,curry and others after ensuring the safety of consumers.

The biomedical significance of the phytochemical, proximate and mineral compositions of the leaf, stem bark and root of Jatropha curcas

Objective: To analyse the phytochemical contents of leaf, stem bark and root of Jatropha curcas(J. curcas) in four solvent extracts and their proximate and mineral compositions. Methods: Standard analytical procedures were used for the determination of phytochemicals, proximate and mineral compositions of the leaf, stem bark and root extracts of J. curcas. Results: Results of the analysis showed the presence of polyphenols, flavonoids, alkaloids, cardiac glycosides, coumarins, saponins, terpenoids, steroids, triterpenoid saponins, carotenoids, phlobatannins and tannins in the leaf, stem bark and root of all the solvent extracts. Flavonoids were present in the highest amount in the ethyl acetate extracts of the leaf(7.35% ± 0.02%), stem bark(4.12% ± 0.01%) and root(3.35% ± 0.02%) followed by polyphenols in the methanol extracts of leaf(4.62% ± 0.02%), stem bark(2.77% ± 0.05%) and root(2.49% ± 0.02%). Poly-acetylated compounds were absent in all the solvent extracts of the leaf, stem bark and root. However, some anti-nutritional agents such as oxalates, phytates and cyanates were present in all the solvent extracts of the leaf, stem bark and root except the ethyl acetate. Phytates were high in the aqueous solvent of the leaf(6.12% ± 0.00%) but low in the stem bark(1.00% ± 0.05%) and root(0.89% ± 0.03%). Proximate composition showed appreciable amounts of total carbohydrate(36.33% ± 0.72%), crude protein(26.00% ± 0.47%) and reducing sugars(5.87% ± 0.14%) in the leaf, while crude fat was more in the stem bark(16.70% ± 0.30%). There was corresponding substantial energy in the leaf [(1 514.77 ± 20.87) kJ /100 g] and stem bark [(907.00 ± 8.52) kJ /100 g]. Moisture and ash contents of the leaf, stem bark and root were within acceptable limits for the use in drugs formulation. The mineral composition showed substantial amounts of important elements such as Fe, Ca, Na, Mg and Zn. Others were P, K and Se. Conclusions: The outcome of this study suggests that the leaf, stem bark and root of J. curcas have very good medicinal potentials, meet the standard requirements for drug formulation and serve as good sources of energy and nutrients except for the presence of some anti-nutritional elements predominant in the leaf.

Relationship between proximate analysis parameters and combustion behaviour of high ash Indian coal

This work presents the analysis of combustion characteristics of high ash Indian coal(28%-40%)collected from different mines of Singaurali coalfield,India.All the coal samples were characterized by proximate and gross calorific value analysis.Combustion performance of the coals were characterised using thermo-gravimetric analysis to identify the burning profile of individual coals.Various combustion kinetic parameters such as ignition temperature,peak temperature and burnout temperature,ignition index and burnout index,combustion performance index plus rate and intensity index of combustion process,activation energy were determined to analyse the combustion behaviour of coal.Further all these combustion properties were compared with the volatile matter,ash,fixed carbon and fuel ratio of each coal.Theoretical analysis shows that with increase in ash content,combustion performance initially increases and later descends.Further,coal with(25±1.75)%volatile matter,20%-35%ash and fuel ratio 1.4-1.5 were found to be optimum for coal combustion.

Proximate Composition,Mineral Content and Fatty Acids Analyses of Aromatic and Non-Aromatic Indian Rice

Awareness on nutritive value and health benefits of rice is of vital importance in order to increase the consumption of rice in daily diet of the human beings. In this study, a total of six aromatic and two non-aromatic rice accessions grown in India were analysed for their nutritional quality attributes including proximate composition, mineral contents and fatty acids. Data with three replications were used to measure Pearson＇s simple correlation co-efficient in order to establish the relationship among various nutritional quality attributes. The result on proximate composition showed that Govind Bhog had the highest moisture（13.57%） and fat（0.92%） content, which signifies its tasty attribute. Badshah Bhog exhibited the highest fibre content（0.85%）, carbohydrate content（82.70%） and food energy（365.23 k Cal per 100 g）. Among the minerals, the higher Ca（98.75 mg/kg）, Zn（17.00 mg/kg） and Fe（31.50 mg/kg） were in Gopal Bhog, whereas the highest Na（68.85 mg/kg） was in Badshah Bhog, the highest K（500.00 mg/kg） was in Swetganga, Khushboo and Sarbati. The highest contents of unsaturated fatty acids viz. oleic acid（49.14%）, linoleic acid（46.99%） and linolenic acid（1.27%） were found in Sarbati, whereas the highest content of saturated fatty acids viz. myristic acid（4.60%） and palmitic acid（31.91%） were found in Govind Bhog and stearic acid（6.47%） in Todal. The identified aromatic rice accessions Gopal Bhog, Govind Bhog and Badshah Bhog and non-aromatic rice accession Sarbati were found nutritionally superior among all eight tested accessions. The nutritional quality oriented attributes in this study were competent with recognized prominent aromatic and non-aromatic rice accessions as an index of their nutritional worth and recommend to farmers and consumers which may be graded as export quality rice with good unique nutritional values in international market.

Application of resistant starch in bread: processing, proximate composition and sensory quality of functional bread products from wheat flour and African locust bean <i>(Parkia biglobosa)</i>flour

Application of resistant starch prepared from parkia flour was produced by replacement of wheat flour with 0, 5%, 10%, 15%, 20%, 30% and 40% Parkia flour. Processing, proximate composition, digestibility of resistant starch in bread and sensory quality were evaluated. Resistant starch was significantly (p < 0.05) increased as Parkia flour level increase in all breads. The resistant starch prepared from Parkia flour was 47.21%. However, wheat bread was 1.47% and Parkia bread 18.52% to 22.28% baked of (200℃ at 45 min) with 2.16% wheat bread and 31.74% to 35.05% Parkia bread baked of (130℃ at 90 min). Supplementation of wheat flour with Parkia flour 0 - 40% increased the crude protein content significantly (p < 0.05) from (7.89% - 15.68%), ash from (0.91% - 2.54%) and crude fiber (1.41% - 4.97%). Color of the bread treatments was remarkably affected by addition of different levels of Parkia flour. Therefore, Parkia flour could be added to wheat flour up to 15% without any observed detrimental effect on bread sensory properties. Sensory evaluation results indicated that bread with 5% to15% Parkia flour were rated the most acceptable and there was no significant difference in terms of acceptability compared to the control. This could be used to improve the nutritional quality of bread especially in developing countries were malnutrition is prevalent.

Proximate Composition, Mineral and Vitamin Content of Some Wild Plants Used as Spices in Cameroon

The aim of this work was to contribute to our knowledge of the proximate composition, mineral and vitamin content of 20 edible wild plants used as spices in Cameroon. The plant species were collected from 3 different markets in the West Region of Cameroon and analysed for their content of crude proteins, and lipid, ash, moisture, available sugars, total phenols, carotenoids, minerals (Ca, Zn, K, Na, Mg, Al, Mn, Cu and Se), and vitamins (A, E and C) as well as for their pH and colour. Results revealed that all the plants were low in moisture (7.7 to 10.5 g/100 g) but high in ash content (7.7 to 10.5 g/100 g). Hua gabonii (bark) (1594.5 mg/100 g) was relative source of calcium, Echinops giganteus (206.4 mg/100 g) exhibited the highest level of iron and Scorodophleus zenkeri (310.0 μg/100 g) the highest level of selenium. Generally all the plants were found to contain low levels of Zn, Cu and Mg. Wide variations were observed for the pro- teins and available sugars among the samples. The lipid content of some of the plants were surprisingly relatively high as was the case with Monodora myristica (53.4 g/100 g), Xylopia aethiopica (33.7 g/100 g), Fagara leprieuri (32.1 g/100 g), and Aframomum daniellii (23.1 g/100 g). All the plants were rich in phenols, carotenoids, vitamin E and C. They are dark in colour and in solution they tended to provoke a fair acidification.

Predictions of elemental composition of coal and biomass from their proximate analyses using ANFIS, ANN and MLR

The elemental composition of coal and biomass provides significant parameters used in the design of almost all energy conversion systems and projects.The laboratory tests to determine the elemental composition of coal and biomass is time-consuming and costly.However,limited research has suggested that there is a correlation between parameters obtained from elemental and proximate analyses of these materials.In this study,some predictive models of the elemental composition of coal and biomass using soft computing and regression analyses have been developed.Thirty-one samples including parameters of elemental and proximate analyses were used during the analyses to develop multiple prediction models.Dependent variables for multiple prediction models were selected as carbon,hydrogen,and oxygen.Using volatile matter,fixed carbon,moisture and ash contents as independent variables,three different prediction models were developed for each dependent parameter using ANFIS,ANN,and MLR.In addition,a routine for selecting the best predictive model was suggested in the study.The reliability of the established models was tested by using various prediction performance indices and the models were found to be satisfactory.Therefore,the developed models can be used to determine the elemental composition of coal and biomass for practical purposes.

Comparison of Fatty Acid and Proximate Composition between <i>Holothuria edulis</i>and <i>Holothuria scabra</i>Collected from Coastal Water of Sabah, Malaysia

The nutritional values of different species of sea cucumber are greatly concerned because of their dietary and curative properties. In this study, two species of sea cucumber, Holothuria edulis, a low-valued noncommercial species, and Holothuria scabra, a high-valued commercial species were selected to compare its proximate composition and fatty acids. H. edulis a prevalent species in coastal water of Sabah is not commercially importance like H. scabra. Sea cucumbers were captured live from the Sabah marine habitat. All samples were immediately eviscerated, freeze-dried and stored at 4°C in until analyzed. Silylating agent N, O-Bis(trimethylsilyl) trifluoroacetamide (BSTFA) was used to derivitization of fatty acid prior to gas chromatography-mass spectrometry (GC-MS) analysis. Proximate compositions (%), such as moisture, crude protein, crude lipids and ash were carried using standard methods. Major fatty acids in H. edulis and H. scabra were saturated fatty acid (SFA) accounted for 83.95% and 98.60%, respectively and dominated with Palmitic acids. Polyunsaturated fatty acid (PUFA), arachidonic acid of 16.05% was found only in H. edulis, but absent H. scabra. Proximate compositions (dry weight) were varied greatly within these two species. Moisture, crude protein, crude lipids and ash of 85.5%, 70.5%, 1.37% and 1.27% respectively were obtained in H. edulis. On the other hand 84.5% of moisture, 51.2% of crude protein, 0.27% of crude lipids and 4.44% of ashes were determined in H. scabra. Significantly higher protein (p H. edulis compare to H. scabra could be the choice of option for the utilization of this non commercial species as nutraceutical industry and also alternatives to reduce the pressure on heavily exploited species of H. scabra.

Proximate, Chemical and Functional Properties of Wheat, Soy and Moringa Leaf Composite Flours

The study presents the effect of utilizing wheat, soy and moringa leaf flour and quality analysis of the flour. The composite flour was prepared using refined wheat flour, soy flour and moringa leaf flour. Four composite flour, compositions were formulated such as 100% wheat flour (control) designated as sample A. Sample B consisted of 75% wheat, 20% soybean and 5% moringa leaf. Sample C consisted of 70% wheat, 20% soybean and 10% moringa leaf. Sample D was 65% wheat, 20% soybean and 15% moringa leaf. Sample E was 60% wheat, 20% soybean and 20% moringa leaf, respectively. Proximate, chemical, and functional properties of wheat, soy and moringa leaf flours were studied in composite flour variation and preparations. The present study highlighted the nutrients enrichment of flour on incorporation of soy and moringa leaf. Relevant statistical tests were done to analyse the significance of means for all tested parameters. Composite flour composition with 20% soybean was identified to produce optimal nutrient, mineral quality and yield. The addition of soybean and moringa flour in baked products has been shown in this study to improve the nutrition and health benefits of the body. It also serves as a good cut on the cost of wheat importation in communities with supply challenges.

Proximate and mineral components of Viscum album var. coloratum grown on eight different host tree species

Mistletoes are parasite plants growing on various tree species,taking nutrients from the host.Beneficial compounds of mistletoe were used in medicine and these mistletoes were commonly collected from oak species that were not well identified.We analyzed the nutritional value by measuring proximate and mineral components of Korean mistletoe(Viscum album var.coloratum)from various host trees.Carbohydrate was the most proximate component in both leaves and twigs followed crude protein,crude fiber,crude ash and crude fat.While the contents of the proximate components and minerals varied among hosts and between plant parts,leaves contained higher crude protein and ash,and more minerals except for magnesium than twigs,although no significant difference was found inmistletoe grown on Prunus mandshurica.There were significant differences of proximate and mineral contents depending on the host species.Mistletoe grown on Chaenomeles sinensis contained higher levels of carbohydrates,crude fat,crude ash,magnesium,calcium,sodium,iron,and zinc than mistletoe grown on other species.Mistletoe grown on P.mandshurica contained high mineral levels of potassium,copper and phosphorous.The nutritional value of mistletoes were greatly influenced by the host species but among the hosts,specific nutrients accumulated in leaves more than in twigs,and vice versa.Based on the analysis,Korean mistletoe contains relatively good quality of nutrients and has high potential for dietary supplements as well as for medicinal compounds.

Provenance variations in proximate principles,mineral matter,total phenols and phytochemicals of Melia dubia drupes:an unexplored alternate livestock feed stock

This research was carried out on nine provenances from the north Western Ghats to quantify proximate principles,mineral matter,total phenols and other phytochemicals in Melia dubia drupe pulp.Drupe biometric,biomass attributes,proximate principles,mineral matter and total phenols diff ered signifi cantly among the provenances.The average drupe length and width was 26.5 and 22.3 mm,respectively.Average drupe and pulp fresh weight,pulp dry weight and stone weight were 783.1,552.1,165.1,and 179.8 g/100 drupes,respectively.Pulp,dry matter and moisture per cent were 70.5%,29.9%and 70.0%,respectively.Average crude fi bre,protein,ether extract,total ash and nitrogen-free extract were 8.3%,7.6%,5.1%,6.3%,and 72.6%,respectively.Average Ca,Mg,P and K levels were 0.5%,0.2%,0.2%,and 2.0%,respectively.Total phenols were 0.4%.Cluster analysis showed that the study area may be divided into three distinct provenances,each having diff erent drupe traits and proximate composition,including mineral components.Gas-chromatography mass-spectrometry analysis revealed 27 phytochemicals,many of which possess benefi cial biological attributes.The implications of this provenance variation study should be useful for future improvement in terms of better drupe pulp nutrition for livestock feed.Further study suggests that M.dubia pulp could be categorized as a good feed source with low fi bre,energy,fat and mineral levels.All proximate parameters,mineral matter content and total phenols are within prescribed limits.

Proximate composition, nutritional values and phytochemical screening of Piper retrofractum vahl. fruits

Objective: To investigate the proximate and mineral composition of the Piper retrofractum(P. retrofractum) vahl. Fruit and to evaluate its total alkaloids, phenol and flavonoid. Methods: The proximate composition of P. retrofractum fruit was ananlyzed using standard protocols according to Indonesian Standard and Association of Official Analytical Chemist. Meanwhile, mineral composition of the fruit was analyzed using inductively coupled plasma-mass spectrometry. Phytochemical screening and quantification were performed using standard protocols according to Harborn and spectrophotometric methods. Results: The results showed that P. retrofractum fruit contained carbohydrate(63.4%), crude protein(11.4%), total ash(4.29%), dietary fiber(28.8%) and total fat(2.97%). The fruit also contained calcium, copper, iron, magnesium, phosphor, potassium, sodium and zinc in different concentrations. Additionally, quinone, sterol, glycosides and alkaloid were detected in both n-hexane and ethyl acetate extracts. Moreover, tannin was presented also in ethylacetate and methanol extracts. Meanwhile, methanol extract contained sterol, glycosides, flavones, tannin and alkaloid. The results also revealed that methanol extract of the fruit contained highest phenol compared to other extract. Finally, small quantity of flavonoid(0.060 0%±0.000 2%) was observed. Conclusions: The overall results show that P. retrofractum contains potential nutritional and phytochemicals values, which support their function for pharmaceutical purposes.

Growth, Proximate Composition and Pigment Production of Tetraselmis chuii Cultured with Aquaculture Wastewater

Microalgae are cultured commercially as healthy food, cosmetic products, food preservatives, and a source of valuable compounds. However, the high cost of commercial culture medium is one of the challenges to microalgal production. Therefore, it is essential to find an alternative cost-effective culture medium. Aquaculture wastewater is considered as a highly potential candidate due to its high nutrient content and large quantity generated from the rapid growth of aquaculture sector. In this study, Tetraselmis chuii cultured in different media with or without wastewater was evaluated for its growth, proximate composition and carotenoid production. The results showed that significantly(P < 0.05) higher growth(4.3 × 105 cells mL^(-1)) and protein(56.4% dry weight), lipid(44% dry weight) and carbohydrate(20% of dry weight) contents were found in T. chuii when they were cultured in the combination of both wastewater and Conway(wastewater + Conway) medium. However, carotenoid production of T. chuii was significantly increased(P < 0.05) when it was cultured in wastewater only, followed by Conway + wastewater and Conway medium only. Therefore, the incorporation of wastewater with commercial medium Convey is recommended for a cost-effective microalgae culture, as well as for the enhancement of growth and nutritional content of microalgae.

Physicochemical, Proximate and Sensory Properties of Pineapple (<i>Ananas</i>sp.) Syrup Developed from Its Organic Side-Stream

A major economical industrial challenge from pineapple (Ananas sp.) processing contributing to environmental pollution is the organic side-streams of pineapple. The physicochemical, proximate and sensory properties of organic sidestream pineapple syrup (OSPS) developed from Smooth cayenne, Sugar loaf and MD2 pineapple varieties were evaluated. Organic side-stream pineapple syrup developed from MD2 recorded the highest moisture content with a corresponding water activity. The colour change in OSPS was significant among the three varieties and Sugar loaf variety deviated from the standard yellow colour more than Smooth cayenne and MD2 varieties. This was buttress by the high Total Soluble Solids in 10% and 20% dilutions of Sugar loaf. The OSPS was acidic. In bread, incorporating 5% OSPS (w:w) of Sugar loaf recorded the highest percentage acceptability among the pineapple varieties. Interestingly, in the production of cakes with 15%, 20% and 30% OSPS, MD2 recorded the highest percentage overall acceptance. For bread and cake, there was varied significance (P 2 and 5% Sugar loaf was more acceptable.

APPLICATION OF THERMAL ANALYSIS TO THE QUICK DETERMINATION OF THE PROXIMATE ANALYSIS ITEMS AND CALORIC VALUE FOR COAL

A research on the application of a TG-DTA(thermal gravimetry aifferential thermal analysis)to the quick determination of moisture,organic volatile fixed carbon,ash and caloric value for coal is described.

MODIFIED APPROXIMATE PROXIMAL POINT ALGORITHMS FOR FINDING ROOTS OF MAXIMAL MONOTONE OPERATORS

In order to find roots of maximal monotone operators, this paper introduces and studies the modified approximate proximal point algorithm with an error sequence {e k} such that || ek || \leqslant hk || xk - [(x)\tilde]k ||\left\| { e^k } \right\| \leqslant \eta _k \left\| { x^k - \tilde x^k } \right\| with ?k = 0￥ ( hk - 1 ) < + ￥\sum\limits_{k = 0}^\infty {\left( {\eta _k - 1} \right)} and infk \geqslant 0 hk = m\geqslant 1\mathop {\inf }\limits_{k \geqslant 0} \eta _k = \mu \geqslant 1 . Here, the restrictions on {η k} are very different from the ones on {η k}, given by He et al (Science in China Ser. A, 2002, 32 (11): 1026–1032.) that supk \geqslant 0 hk = v < 1\mathop {\sup }\limits_{k \geqslant 0} \eta _k = v . Moreover, the characteristic conditions of the convergence of the modified approximate proximal point algorithm are presented by virtue of the new technique very different from the ones given by He et al.