Coincidence Points and Almost-like Coincidence Points on Generalized ConvexSpaces with Applications  

Coincidence Points and Almost-like Coincidence Points on Generalized ConvexSpaces with Applications

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作  者:PIA O Yong-jie SHI Rcn-shu 

机构地区:[1]Department of Mathematics, Yanbian University, Yanji 133002, China

出  处:《Chinese Quarterly Journal of Mathematics》2012年第3期364-370,共7页数学季刊(英文版)

基  金:Supported by the Science Foundation of Education Committee of Jilin Province (20111434])

摘  要:We introduce the concept of a weakly G-quasiconvex map with respect to a map on generalized convex spaces and use the concept to prove coincidence point theorems and almost-like coincidence point theorems. As applications of the above results, we derive almost fixed point theorems and fixed point theorem. These main results generalize and improve some known results in the literature.

关 键 词:generalized convex spaces weakly G-quasiconvex map KKM map F-convex u.s.c. 1.s.c. almost fixed point 

分 类 号:O189.1[理学—数学] O177.91[理学—基础数学]

 

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