中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊

Journal of Chongqing Jiaotong University(Natural Science) ›› 2005, Vol. 24 ›› Issue (4): 160-164.

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Some parametric non-compact KKM theorems with applications to economic equilibrium problem in topological spaces without linear structure

WANG Da-cheng1 , REN yuan2   

  1. 1.Institute of Information and Calculation Science, Chongqing Jiaotong University, Chongqing 400074, China; 2. School of Information Science and Technology, Tsinghua University,Beijing 100084, China
  • Received:2004-05-27 Online:2005-08-15 Published:2015-05-18

不具线性结构拓扑空间中参数型非紧KKM定理 及其在经济平衡问题上的应用

汪达成1,任远2   

  1. 1.重庆交通学院信息与计算科学研究所,重庆400074;2.清华大学信息科学技术学院,北京100084
  • 作者简介:汪达成(1951一),男,山东泰安人,副教授,从事非线性分析及其应用研究与数学教学工作.
  • 基金资助:
    重庆市科季应用基础研究资助课题(030826);重庆市教季基础/6用基础研究资助课题(020406

Abstract: We establish some parametric non-compact KKM theorems for set-valued mappings in generalized interval spaces, more general topological spaces without linear structure. As applications, we utilize the results to study the minimax problem and the equilibrium problem for generalized economy

Key words: generalized Interval space, T-interval closed set, T-convex set, GT-convex set, GT-compact set

摘要: 本文在不具线性结构的拓扑空间——广义区间空间——中建立了集值映像的参数型非紧KKM定理。作为应 用,我们研究了极大极小问题和广义经济平衡问题

关键词: 广义区间空间, T一区间闭集, T一凸集, GT一凸集, GT一紧集

CLC Number: