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Almost Fixed Points and Fixed Points of Upper [Lower] Semicontinuous Multimap on Locally G-convex Spaces 被引量:3

Almost Fixed Points and Fixed Points of Upper [Lower] Semicontinuous Multimap on Locally G-convex Spaces
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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.
作者 朴勇杰
出处 《Northeastern Mathematical Journal》 CSCD 2005年第4期391-396,共6页 东北数学(英文版)
基金 The NNSF (10361005) of China.
关键词 G-convex space upper [lower] semicontinuous locally G-convex space ahnost fixed point property ahnost Γ-convex G-convex space, upper [lower] semicontinuous, locally G-convex space,ahnost fixed point property, ahnost Γ-convex
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  • 1Sehie Park.Elements of the KKM theory for generalized convex spaces[J].Korean Journal of Computational and Applied Mathematics.2000(1) 被引量:1
  • 2Park,S.New subclasses of generalized concex spaces, in: Fixed Point Theory and Applications, Y.J. Cho ed. Nova Sci[].Publ New York.2000 被引量:1

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