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New Common Fixed Point Results for Four Maps on Cone Metric Spaces 被引量:12
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作者 Yan Han Shaoyuan Xu 《Applied Mathematics》 2011年第9期1114-1118,共5页
In this paper, some new existence and uniqueness of common fixed points for four mappings are obtained, which do not satisfy continuity and commutation on non-normal cone metric spaces. These results improve and gener... In this paper, some new existence and uniqueness of common fixed points for four mappings are obtained, which do not satisfy continuity and commutation on non-normal cone metric spaces. These results improve and generalize several well-known comparable results in the literature. 展开更多
关键词 COMMON Fixed Point cone METRIC space Non-Normal cone
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Some New Theorems of Lipschitz Type Mappings in Cone Metric Spaces 被引量:5
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作者 HAN Yan XU Wang-bin XU Shao-yuan 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第2期224-233,共10页
In this paper, some new existence and uniqueness of common fixed points for three mappings of Lipschitz type are obtained. The conditions are greatly weaker than the classic conditions in cone metric spaces. These res... In this paper, some new existence and uniqueness of common fixed points for three mappings of Lipschitz type are obtained. The conditions are greatly weaker than the classic conditions in cone metric spaces. These results improve and generalize several wellknown comparable results in the literature. Moreover, our results are supported by some examples. 展开更多
关键词 cone metric space lipschitz type mapping common fixed point
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New Fixed Point Results of Generalized g-Quasi-Contractions in Cone b-Metric Spaces Over Banach Algebras 被引量:1
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作者 Shaoyuan Xu Suyu Cheng +1 位作者 Suzana Aleksic Yongjie Piao 《Analysis in Theory and Applications》 CSCD 2017年第2期118-133,共16页
In this paper, we introduce the concept of generalized g-quasi-contractions in the setting of cone b-metric spaces over Banach algebras. By omitting the assump- tion of normality we establish common fixed point theore... In this paper, we introduce the concept of generalized g-quasi-contractions in the setting of cone b-metric spaces over Banach algebras. By omitting the assump- tion of normality we establish common fixed point theorems for the generalized g- quasi-contractions with the spectral radius r(λ) of the g-quasi-contractive constant vector λ satisfying r(λ) ∈[0,1) in the setting of cone b-metric spaces over Banach al- gebras, where the coefficient s satisfies s ≥ 1. The main results generalize, extend and unify several well-known comparable results in the literature. 展开更多
关键词 cone b-metric spaces over Banach algebras non-normal cones c-sequences general-ized g-quasi-contractions fixed point theorems.
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Some Fixed Point Results on a Class of Contractive Mappings in Cone Metric Spaces 被引量:4
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作者 HUANG Hua-ping XU Shao-yuan HAN Yan 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第4期539-545,共7页
In this paper, we consider a notion of contractive mappings with certain conditions in cone metric spaces and obtain some results of fixed points by using some necessary conditions. The results directly improve and ge... In this paper, we consider a notion of contractive mappings with certain conditions in cone metric spaces and obtain some results of fixed points by using some necessary conditions. The results directly improve and generalize some fixed point results in metric soaces and some previous results in cone metric spaces. 展开更多
关键词 cone metric space sequentially compact fixed point
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Common Fixed Point Theorems in Non-normal Cone Metric Spaces with Banach Algebras 被引量:2
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作者 HUANG Hua-ping XU Shao-yuan +1 位作者 LIU Qiu-hua MING Wei 《Chinese Quarterly Journal of Mathematics》 2016年第2期155-161,共7页
In this paper, we obtain a class of common fixed point theorems for generalized Lipschitz mappings in cone metric spaces with Banach algebras without the assumption of normality of cones. The results greatly generaliz... In this paper, we obtain a class of common fixed point theorems for generalized Lipschitz mappings in cone metric spaces with Banach algebras without the assumption of normality of cones. The results greatly generalize some results in the literature. Moreover,we give an example to support the main assertions. 展开更多
关键词 cone metric space with Banach algebra generalized Lispchitz constant weakly compatible
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GENERALIZATIONS OF THE SUZUKI AND KANNAN FIXED POINT THEOREMS IN G-CONE METRIC SPACES 被引量:1
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作者 Mohammad Sadegh Asgari Zohreh Abbasbigi 《Analysis in Theory and Applications》 2012年第3期248-262,共15页
In this paper we develop the Banach contraction principle and Kannan fixed point theorem on generalized cone metric spaces. We prove a version of Suzuki and Kannan type generalizations of fixed point theorems in gener... In this paper we develop the Banach contraction principle and Kannan fixed point theorem on generalized cone metric spaces. We prove a version of Suzuki and Kannan type generalizations of fixed point theorems in generalized cone metric spaces. 展开更多
关键词 fixed point D-metric space 2-metric space generalized cone metric space Kannan mapping generalized Kannan mapping contractive mapping
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Common Fixed Points under Contractive Conditions in Cone Metric Spaces 被引量:1
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作者 WANG Yun-jie ZHU Jiang 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第1期47-52,共6页
In order to develop and improve the fixed point theorems in cone metric spaces, some new fixed point theorems are presented for two mappings in cone metric spaces which satisfy contractive conditions, where the cone i... In order to develop and improve the fixed point theorems in cone metric spaces, some new fixed point theorems are presented for two mappings in cone metric spaces which satisfy contractive conditions, where the cone is not necessarily normal. Our results generalize fixed point theorems of Abbas, Jungck and Stojan Radenovi in cone metric spaces. 展开更多
关键词 cone metric space normal and non-normal cone common fixed point
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Common Fixed Point Results for Quasi-contractions Involving Altering Distance Functions in Ordered Cone Metric Spaces 被引量:1
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作者 SONG Ji-ping WANG Mao-fa 《Chinese Quarterly Journal of Mathematics》 2018年第1期1-16,共16页
Some common fixed point results for mappings satisfying a quasi-contractive condition which involves altering distance functions are obtained in partially ordered complete cone metric spaces. A sufficient condition fo... Some common fixed point results for mappings satisfying a quasi-contractive condition which involves altering distance functions are obtained in partially ordered complete cone metric spaces. A sufficient condition for the uniqueness of common fixed point is proved. Also, an example is given to support our results. 展开更多
关键词 partially ordered cone metric space quasi-contraction common fixed point altering distance function
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SOME NEW EXTENSIONS OF EDELSTEIN-SUZUKI-TYPE FIXED POINT THEOREM TO G-METRIC AND G-CONE METRIC SPACES 被引量:3
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作者 Fridoun MORADLOU Peyman SALIMI Pasquale VETRO 《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期1049-1058,共10页
In this paper, we prove some fixed point theorems for generalized contractions in the setting of G-metric spaces. Our results extend a result of Edelstein [M. Edelstein, On fixed and periodic points under contractive ... In this paper, we prove some fixed point theorems for generalized contractions in the setting of G-metric spaces. Our results extend a result of Edelstein [M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962), 74-79] and a result of Suzuki [T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313-5317]. We prove, also, a fixed point theorem in the setting of G-cone metric spaces. 展开更多
关键词 G-metric spaces G-cone metric spaces fixed point Edelstein's theorem Suzuki's theorem
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An Improvement in Ordered Cone b-metric Spaces Over Banach Algebras
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作者 HAN Yan XU Shao-yuan DONG Yan-shou 《Chinese Quarterly Journal of Mathematics》 2019年第1期43-51,共9页
The purpose of this paper is to improve some famous theorems for contractive mapping from ρ(α + β) ∈ [0,1/s) to ρ(α + β) ∈ [0, 1) in ordered cone b-metric spaces over Banach algebras with coefficient s ≥ 1(ρ... The purpose of this paper is to improve some famous theorems for contractive mapping from ρ(α + β) ∈ [0,1/s) to ρ(α + β) ∈ [0, 1) in ordered cone b-metric spaces over Banach algebras with coefficient s ≥ 1(ρ(x) is the spectral radius of the generalized Lipschitz constant x). Moreover, some similar improvements in ordered cone b-metric spaces are also obtained, which from α + β∈ [0,1/s) to α + β∈ [0, 1). Some examples are given to support that our new results are genuine improvements and generalizations. 展开更多
关键词 cone b-metric spaces OVER BANACH ALGEBRAS c-distance generalized LIPSCHITZ MAPPINGS fixed point
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Fixed Points and Common Fixed Points of Quasi-Contractive Mappings on Partially Ordered-Cone Metric Spaces
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作者 Hailan Jin Yongjie Piao 《Applied Mathematics》 2014年第21期3437-3444,共8页
In this paper, we use the mappings with quasi-contractive conditions, defined on a partially ordered set with cone metric structure, to construct convergent sequences and prove that the limits of the constructed seque... In this paper, we use the mappings with quasi-contractive conditions, defined on a partially ordered set with cone metric structure, to construct convergent sequences and prove that the limits of the constructed sequences are the unique (common) fixed point of the mappings, and give their corollaries. The obtained results improve and generalize the corresponding conclusions in references. 展开更多
关键词 Common Fixed Point cone METRIC space COMPLETE
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Common Fixed Points for a Countable Family of Quasi-Contractive Mappings on a Cone Metric Space with the Convex Structure
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作者 Yongjie Piao Hua Nan 《Analysis in Theory and Applications》 2013年第3期255-266,共12页
In this paper, we consider a countable family of surjective mappings {Tn}n∈N satisfying certain quasi-contractive conditions. We also construct a convergent sequence { Xn } n c∈Nby the quasi-contractive conditions o... In this paper, we consider a countable family of surjective mappings {Tn}n∈N satisfying certain quasi-contractive conditions. We also construct a convergent sequence { Xn } n c∈Nby the quasi-contractive conditions of { Tn } n ∈N and the boundary condition of a given complete and closed subset of a cone metric space X with convex structure, and then prove that the unique limit x" of {xn}n∈N is the unique common fixed point of {Tn}n∈N. Finally, we will give more generalized common fixed point theorem for mappings {Ti,j}i,j∈N. The main theorems in this paper generalize and improve many known common fixed point theorems for a finite or countable family of mappings with quasi-contractive conditions. 展开更多
关键词 Common fixed point the convex property cone metric space.
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Common Fixed Points for a Countable Family of Non-self Mappings in Cone Metric Spaces with the Convex Prop erty
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作者 PIAO Yong-jie LI Chun-hua 《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第2期221-230,共10页
A new common fixed point result for a countable family of non-self mappings defined on a closed subset of a cone metric space with the convex property is obtained, and from which, a more general result is given. Our m... A new common fixed point result for a countable family of non-self mappings defined on a closed subset of a cone metric space with the convex property is obtained, and from which, a more general result is given. Our main results improve and generalize many known common fixed point theorems. 展开更多
关键词 common fixed point the convex property cone metric space
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Some Approximation in Cone Metric Space and Variational Iterative Method
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作者 Ning Chen Jiqian Chen 《Applied Mathematics》 2012年第12期2007-2018,共12页
In this paper, we give some new results of common fixed point theorems and coincidence point case for some iterative method. By using of variation iteration method and an effective modification of He’s variation iter... In this paper, we give some new results of common fixed point theorems and coincidence point case for some iterative method. By using of variation iteration method and an effective modification of He’s variation iteration method discusses some integral and differential equations, we give out some new conclusion and more new examples. 展开更多
关键词 cone Metric space Common Fixed Point Effective Variation ITERATION Method Integral-Differential Equation
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Common Fixed Points for Mappings with Quasi-Lipschitz Conditions on TVS-valued Cone Metric Spaces
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作者 朴勇杰 金哲植 《Chinese Quarterly Journal of Mathematics》 2016年第4期390-398,共9页
A new unique common fixed point result for a pair of mappings satisfying certain quasi-Lipschitz type conditions on a topological vector space-valued cone metric space is obtained, and its particular forms and a more ... A new unique common fixed point result for a pair of mappings satisfying certain quasi-Lipschitz type conditions on a topological vector space-valued cone metric space is obtained, and its particular forms and a more general form are given. Our main results generalize and improve some well-known recent results in the literature. 展开更多
关键词 TVS-valued cone metric space quasi-Lipschitz type condition common fixed point
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The Completeness of Cone Metric Spaces
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作者 LI Ke-dian 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第4期565-572,共8页
Some topological properties of cone metric spaces are discussed and proved that every cone metric space (X, d) is complete if and only if every family of closed subsets of X which has the finite intersection propert... Some topological properties of cone metric spaces are discussed and proved that every cone metric space (X, d) is complete if and only if every family of closed subsets of X which has the finite intersection property and which for every c ε E, 0 〈〈 c contains a set of diameter less that c has non-empty intersection. 展开更多
关键词 COMPACTNESS COMPLETENESS cauchy sequence cone metric space
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Some Random Coincidence Point and Common Fixed Point Results in Cone Metric Spaces Over Banach Algebras
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作者 JIANG Bing-hua CAI Ze-lin CHEN Jin-yang 《Chinese Quarterly Journal of Mathematics》 2019年第4期362-381,共20页
In this paper,we obtain some tripled common random fixed point and tripled random fixed point theorems with several generalized Lipschitz constants in such spaces.We consider the obtained assertions without the assump... In this paper,we obtain some tripled common random fixed point and tripled random fixed point theorems with several generalized Lipschitz constants in such spaces.We consider the obtained assertions without the assumption of normality of cones.The presented results generalize some coupled common fixed point theorems in the existing literature. 展开更多
关键词 Tripled random fixed point Tripled random coincidence point cone metric space over Banach algebra Generalized Lipschitz constant Tripled common random fixed point
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A Class of Cone Sobolev Spaces on the Half-line
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作者 刘晓春 陈化 《Northeastern Mathematical Journal》 CSCD 2000年第3期257-260,共4页
关键词 cone Sobolev space Mellin symbol discrete conormal asymptotics
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Fixed Point Theorems in Cone Symmetric Spaces
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作者 ZHANG Yi 《Chinese Quarterly Journal of Mathematics》 2015年第2期280-286,共7页
In this paper, some common fixed point theorems for general occasionally weakly compatible selfmaps and non-selfmaps on cone symmetric spaces were proved. The interesting point of this paper is that we do not assume t... In this paper, some common fixed point theorems for general occasionally weakly compatible selfmaps and non-selfmaps on cone symmetric spaces were proved. The interesting point of this paper is that we do not assume that the cone is solid. Our results generalize and complete the corresponding results in [9-15]. 展开更多
关键词 occasionally weakly compatible maps common fixed point cone symmetric space
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Some Notes on G-cone Metric Spaces
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作者 CAO Xiao-shuang XU Shao-yuan 《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第4期602-611,共10页
In this paper, we introduce a G metric on the G-cone metric space and then prove that a complete G-cone metric space is always a complete G metric space and verify that a contractive mapping on the G-cone metric space... In this paper, we introduce a G metric on the G-cone metric space and then prove that a complete G-cone metric space is always a complete G metric space and verify that a contractive mapping on the G-cone metric space is a contractive mapping on the G metric space. At last, we also give a new way to obtain the unique fixed point on G-cone metric space. 展开更多
关键词 G-cone metric space G metric contractive mapping
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