Almost Fixed Points and Fixed Points of Upper [Lower] Semicontinuous Multimap on Locally G-convex Spaces  

作　　者：朴勇杰 

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

出　　处：《Northeastern Mathematical Journal》2005年第4期391-396,共6页东北数学（英文版）

基　　金：The NNSF (10361005) of China.

摘　　要：In this paper, we use the well known KKM type theorem for generalized convex spaces due to Park （Elements of the KKM theory for generalized convex spaces, Korean J. Comp. Appl. Math., 7（2000）, 1-28） to obtain an almost fixed point theorem for upper [resp., lower] semicontinuous multimaps in locally G-convex spaces, and then give a fixed point theorem for upper semicontinuous multimap with closed Γ-convex values.In this paper, we use the well known KKM type theorem for generalized convex spaces due to Park （Elements of the KKM theory for generalized convex spaces, Korean J. Comp. Appl. Math., 7（2000）, 1-28） to obtain an almost fixed point theorem for upper [resp., lower] semicontinuous multimaps in locally G-convex spaces, and then give a fixed point theorem for upper semicontinuous multimap with closed Γ-convex values.

关 键 词：G-convex space upper [lower] semicontinuous locally G-convex space ahnost fixed point property ahnost Γ-convex 

分 类 号：O177.3[理学—数学]