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MAXIMAL ELEMENTS OF A FAMILY OF G_B-MAJORIZED MAPPINGS IN PRODUCT FC-SPACES AND APPLICATIONS 被引量:2
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第12期1607-1618,共12页
A new family of GB-majorized mappings from a topological space into a finite continuous topological spaces (in short, FC-space) involving a better admissible set-valued mapping is introduced. Some existence theorems... A new family of GB-majorized mappings from a topological space into a finite continuous topological spaces (in short, FC-space) involving a better admissible set-valued mapping is introduced. Some existence theorems of maximal elements for the family of GB-majorized mappings are proved under noncompact setting of product FCspaces. Some applications to fixed point and system of minimax inequalities are given in product FC-spaces. These theorems improve, unify and generalize many important results in recent literature. 展开更多
关键词 maximal element family of GB-majorized mappings fixed point system of minimax inequalities product FC-space
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Homozygosity mapping of a consanguineous Pakistani family affected with oculocutaneous albinism to Tyrosinase gene 被引量:2
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作者 Muhammad Shakil Muhammad Ikram Ullah +3 位作者 Shabbir Hussain Sabika Firasat Saqib Mahmood Haiba Kaul 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2016年第5期794-796,共3页
Dear Sir,Iam Haiba Kaul,from the Department of Biochemistry,University of Health Sciences,Lahore,Pakistan.I write to present a study of oculocutaneous albinism(OCA)in consanguineous Pakistani families.OCA is a genet... Dear Sir,Iam Haiba Kaul,from the Department of Biochemistry,University of Health Sciences,Lahore,Pakistan.I write to present a study of oculocutaneous albinism(OCA)in consanguineous Pakistani families.OCA is a genetic defect of melanin biosynthesis that mainly affects eyes,skin and hair. 展开更多
关键词 TYR Homozygosity mapping of a consanguineous Pakistani family affected with oculocutaneous albinism to Tyrosinase gene
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Comment on homozygosity mapping of a consanguineous Pakistani family affected with oculocutaneous albinism to Tyrosinase gene
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作者 Muzammil Ahmad Khan 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2017年第5期826-826,共1页
Dear Editor,I have carefully read the article entitled "Homozygosity mapping of a consanguineous Pakistani family affected with oculocutaneous albinism to Tyrosinase gene",published by Shakil et al in 2016 and found... Dear Editor,I have carefully read the article entitled "Homozygosity mapping of a consanguineous Pakistani family affected with oculocutaneous albinism to Tyrosinase gene",published by Shakil et al in 2016 and found it very interesting for the scientific community. 展开更多
关键词 In Comment on homozygosity mapping of a consanguineous Pakistani family affected with oculocutaneous albinism to Tyrosinase gene TYR LOD
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MAXIMAL ELEMENTS FOR G_B-MAJORIZED MAPPINGS IN PRODUCT G-CONVEX SPACES AND APPLICATIONS (Ⅰ) 被引量:1
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第6期659-672,共14页
A new family of set_valued mappings from a topological space into generalized convex spaces was introduced and studied. By using the continuous partition of unity theorem and Brouwer fixed point theorem, several exist... A new family of set_valued mappings from a topological space into generalized convex spaces was introduced and studied. By using the continuous partition of unity theorem and Brouwer fixed point theorem, several existence theorems of maximal elements for the family of set_valued mappings were proved under noncompact setting of product generalized convex spaces. These theorems improve, unify and generalize many important results in recent literature. 展开更多
关键词 maximal element family of G B_ majorized mappings product G_ convex space
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MAXIMAL ELEMENTS FOR G_B-MAJORIZED MAPPINGS IN PRODUCT G_CONVEX SPACES AND APPLICATIONS (Ⅱ) 被引量:1
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第9期1017-1024,共8页
A new family of set_valued mappings from a topological space into generalized convex spaces was introduced and studied. By using the continuous partition of unity theorem and Brouwer fixed point theorem, several exist... A new family of set_valued mappings from a topological space into generalized convex spaces was introduced and studied. By using the continuous partition of unity theorem and Brouwer fixed point theorem, several existence theorems of maximal elements for the family of set_valued mappings were proved under noncompact setting of product generalized convex spaces. These theorems improve, unify and generalize many important results in recent literature. 展开更多
关键词 maximal element family of G B_ majorized mappings product G_ convex space
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NONEMPTY INTERSECTION THEOREMS AND SYSTEM OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS IN PRODUCT G-CONVEX SPACES 被引量:4
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作者 DINGXie-ping 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第6期618-626,共9页
By using an existence theorems of maximal elements for a family of set-valued mappings in G-convex spaces due to the author, some new nonempty intersection theorems for a family of set-valued mappings were established... By using an existence theorems of maximal elements for a family of set-valued mappings in G-convex spaces due to the author, some new nonempty intersection theorems for a family of set-valued mappings were established in noncompact product G-convex spaces. As applications, some equilibrium existence theorems for a system of generalized vector equilibrium problems were proved in noncompact product G-convex spaces. These theorems unify, improve and generalize some important known results in literature. 展开更多
关键词 family of set-valued mapping nonempty intersection theorem system of generalized vector equilibrium problem product G-convex space
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HYBRID ITERATION METHOD FOR GENERALIZED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS 被引量:1
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作者 Jinliang Shen Jianhua Huang 《Annals of Applied Mathematics》 2017年第1期18-31,共14页
In this papers weak and strong convergence theorems are established by hybrid iteration method for generalized equilibrium problem and fixed point problems of a finite family of asymptotically nonexpansive mappings in... In this papers weak and strong convergence theorems are established by hybrid iteration method for generalized equilibrium problem and fixed point problems of a finite family of asymptotically nonexpansive mappings in Hilbert spaces. The results presented in this paper partly extend and improve the corresponding results of the previous papers. 展开更多
关键词 generalized equilibrium problem a finite family of asymptoti-cally nonexpansive mapping hybrid iteration method inverse-strongly mono-tone mapping Hilbert space
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Approximation of Nearest Common Fixed Point of Nonexpansive Mappings in Hilbert Spaces 被引量:5
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作者 Shi Sheng ZHANG H.W. JOSEPH LEE Chi Kin CHAN 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第10期1889-1896,共8页
The purpose of this paper is to study the convergence problem of the iteration scheme xn+l = λn+1y + (1 - λn+1)Tn+1xn for a family of infinitely many nonexpansive mappings T1, T2,... in a Hilbert space. It is... The purpose of this paper is to study the convergence problem of the iteration scheme xn+l = λn+1y + (1 - λn+1)Tn+1xn for a family of infinitely many nonexpansive mappings T1, T2,... in a Hilbert space. It is proved that under suitable conditions this iteration scheme converges strongly to the nearest common fixed point of this family of nonexpansive mappings. The results presented in this paper extend and improve some recent results. 展开更多
关键词 common fixed point family of nonexpansive mappings nearest point projection iterative scheme
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Continuous Selection,Collectively Fixed Points and System of Coincidence Theorems in Product Topological Spaces 被引量:4
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作者 Xie Ping DING 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第6期1629-1638,共10页
Some new continuous selection theorems are first proved in noncompact topological spaces. As applications, some new collectively fixed point theorems and coincidence theorems for two families of set-valued mappings de... Some new continuous selection theorems are first proved in noncompact topological spaces. As applications, some new collectively fixed point theorems and coincidence theorems for two families of set-valued mappings defined on product space of noncompact topological spaces are obtained under very weak assumptions. These results generalize many known results in recent literature. 展开更多
关键词 continuous selection collectively fixed point coincidence theorem for two families of set-valued mappings FC-SPACE
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