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Fan-Browder Type Fixed Point Theorems and Its Applications on Generalized Convex Product Spaces 被引量:2

Fan-Browder Type Fixed Point Theorems and Its Applications on Generalized Convex Product Spaces
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摘要 Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of(partially) maxi-mal element and equilibrium point are discussed as applications of above results. Fan-Browder type fixed point theorems are obtained for non-selfmaps on non-compact generalized convex product spaces and new existence problems of(partially) maximai element and equilibrium point are discussed as applications of above results.
作者 PIAO Yong-Jie
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第3期349-355,共7页 数学季刊(英文版)
基金 Supported by the National Natural Science Foundation of China(10361005)
关键词 凸乘积空间 Fan-Browder型 不动点定理 数学 generalized convex space F-convex maximal element partially maximal element equilibrium point
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参考文献9

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同被引文献13

  • 1朴勇杰.一般化凸乘积空间上Fan-Browder型不动点定理和平衡点定理(英文)[J].纯粹数学与应用数学,2004,20(3):197-203. 被引量:4
  • 2杨明歌,邓磊.拓扑空间中Fan-Browder映射的连续选择定理及其应用[J].应用数学和力学,2006,27(4):439-446. 被引量:3
  • 3Park S. On Generalization of the KKM Principle on Abstract Convex Space [J]. Nonlinear Anal Forum, 2006, 11 (1) : 67 -77.
  • 4TIAN Guo-qiang. Generalization of FKKM Theorem and the Ky Fan Minimax Inequality with Applications to Maximal Elements, Price Equilibrim, and Complementarity [J]. J Math Anal Appl, 1992, 170(2) : 457-471.
  • 5Lassonde M. On the Use of KKM Multifunctions in Fixed Point Theory and Related Topics [ J ]. J Math Anal Appl, 1983, 97(1) : 151-201.
  • 6Hovarth C. Contractibility and Generalized Convexity [J]. J Math Anal Appl, 1991, 156(2) : 341-357.
  • 7Park S, Kim H. Coincidence Theorems for Admissible Multifunctions on Generalized Convex Spaces [ J ]. J Math Anal Appl, 1996, 197(1): 173-187.
  • 8Kim H, Park S. Remarks on the KKM Property for Open Valued Muhimaps on Generalized Convex Spaces [ J ]. J Korean Math Soc, 2005, 42(1) : 101-110.
  • 9/ DING Xie-ping. Generalized KKM Type Theorems in FC-Spaces with Applications ( I ) [ J ]. J Glob Optim, 2006- / 36(4) : 581-596.
  • 10Park S. Fixed Point Theorems on -Maps in Abstract Convex Space [ J ]. Nonlinear Anal Forum, 2006, 11 (2) 117-127.

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