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Continuous Selections and Fixed Points forφ-maps with Their Applications to Section Problems: 《Communications in Mathematical Research》2012年第3期225-234,共10页PIAO YONG-JIE JIN HAI-LAN PIAO GUANG-RI; The NSF (10361005) of China; The concept of finitely continuous topological space is introduced and the basic properties of the space are given. Several continuous selection theorems and fixed point theorems for Ф-maps are established, and as ap...; 关键词：FC-SPACE FC-subset Ф-map continuous selection fixed point section problem

Coincidence Theorem for Admissible Set-valued Mappings and Its Applications in FC-spaces: 《Acta Mathematicae Applicatae Sinica》2010年第3期455-462,共8页Ming-ge Yang Lei Deng; Supported by the National Natural Science Foundation of China (No. 10771173);the Natural Science Foundation of Henan Education Department (No. 2008B110012);the Science and Technology Program Project of Henan Province (No. 092300410187);the Youth Foundation of Luoyang Normal University; A new coincidence theorem for admissible set-valued mappings is proved in FC-spaces with a more general convexity structure. As applications, an abstract variational inequality, a KKM type theorem and a fixed point th...; 关键词：FC-SPACE coincidence theorem admissible set-valued mapping

ON COLLECTIVELY FIXED POINT THEOREMS ON FC-SPACES: 《Analysis in Theory and Applications》2010年第3期228-235,共8页Yongjie Piao; Supported by the National Natural Science Foundation of China(10361005); Based on a KKM type theorem on FC-space, some new fixed point theorems for Fan-Browder type are established, and then some collectively fixed point theorems for a family of Ф-maps defined on product space of FC-space...; 关键词：FC-SPACE FC-subset KKM map Ф-map collectively fixed point

Systems of generalized quasi-variational inclusion (disclusion) problems in FC-spaces: 《Applied Mathematics and Mechanics(English Edition)》2010年第5期545-556,共12页丁协平; Project supported by the Scientific Research Fund of Sichuan Normal University (No. 09ZDL04);the Sichuan Province Leading Academic Discipline Project (No. SZD0406); By applying an existence theorem of maximal elements of set-valued mappings in FC-spaces proposed by the author, some new existence theorems of solutions for systems of generalized quasi-variational inclusion （disclu...; 关键词：maximal element system of generalized quasi-variational inclusion （disclusion） problems partially diagonally quasi-convex partially diagonally quasi-concave FC-space

Coincidence Point Theorems,Intersection Theorems and Saddle Point Theorems on FC-spaces被引量：1: 《Communications in Mathematical Research》2009年第2期115-122,共8页PIAO YONG-JIE YIN ZHE; The NSF (10361005) of China; In this paper, we first give the definitions of finitely continuous topological space and FC-subspace generated by some set, and obtain coincidence point theorem, whole intersection theorems and Ky Fan type matching t...; 关键词：FC-SPACE FC-subspace generated by set saddle point

KKM Type Theorems and Coincidence Theorems in Topological Spaces被引量：1: 《Journal of Mathematical Research and Exposition》2008年第2期403-412,共10页ZHENG Lian DING Xie Ping; Foundation item： the Natural Science Foundation of Sichuan Provincial Education Department of China （No. 2003A081; SZD0406）.; A class of finitely continuous topological spaces(in short,FC-spaces)is introduced. Some new KKM type theorems and coincidence theorems involving admissible set-valued map- pings and the set-valued mapping with compac...; 关键词：FC-SPACE KKM type theorem coincidence theorem admissible set-valued map compactly local intersection property

MAXIMAL ELEMENTS OF A FAMILY OF G_B-MAJORIZED MAPPINGS IN PRODUCT FC-SPACES AND APPLICATIONS被引量：2: 《Applied Mathematics and Mechanics(English Edition)》2006年第12期1607-1618,共12页丁协平; Project supported by the Natural Science Foundation of Sichuan Education Department of China (Nos.2003A081 and SZD0406); 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...; 关键词：maximal element family of GB-majorized mappings fixed point system of minimax inequalities product FC-space

GENERALIZED VECTOR VARIATIONAL-TYPE INEQUALITIES IN FC-SPACES: 《Applied Mathematics and Mechanics(English Edition)》2006年第11期1451-1459,共9页方敏丁协平; Project supported by the Natural Science Foundation of Sichuan Education Department of China(No.2003A081); A class of generalized vector variational-type inequality problems （GVVTIP） are studied in FC-spaces, which includes the most of vector equilibrium problems, vector variational inequality problems, generalized vecto...; 关键词：generalized vector variational-type inequality F-KKM mapping F-Px-diagonally quasiconvex FC-SPACE

Continuous Selection,Collectively Fixed Points and System of Coincidence Theorems in Product Topological Spaces被引量：4: 《Acta Mathematica Sinica,English Series》2006年第6期1629-1638,共10页Xie Ping DING; This project is supported by the NSF of Sichuan Education Department of China(2003A081)and SZD0406; 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...; 关键词：continuous selection collectively fixed point coincidence theorem for two families of set-valued mappings FC-SPACE

System of Generalized Vector Quasi-Equilibrium Problems in Locally FC-Spaces被引量：12: 《Acta Mathematica Sinica,English Series》2006年第5期1529-1538,共10页Xie Ping DING; This project is supported by the NSF of Sichuan Education Department of China (2003A081 and SZD0406); A new class of locally finite continuous topological spaces （for short, locally FC-spaces） and a class of system of generalized vector quasi-equilibrium problems are introduced. By applying a generalized Himmelberg ...; 关键词：Generalized game System of generalized vector quasi-equilibrium problems KKM property Himmelberg type fixed point theorem Locally FC-space

FC-SPACE