一个新的GLKKM定理及其对抽象经济的应用

数学季刊 ›› 2012, Vol. 27 ›› Issue (1): 63-67.

一个新的GLKKM定理及其对抽象经济的应用

College of Civil Engineering and Architecture, Bijie University

收稿日期:2009-10-25 出版日期:2012-03-30 发布日期:2023-04-06
作者简介:WEN Kai-ting(1962-), male, native of Dafang, Guizhou, a professor of Bijie University, M.S.D., engages in nonlinear analysis.
基金资助:
Supported by the Natural Science Foundation of Guizhou Province([2011]2093)； Supported by the Natural Scientific Research Foundation of Guizhou Provincial Education Department of China(2008072)

A New GLKKM Theorem and Its Application to Abstract Economies

College of Civil Engineering and Architecture, Bijie University

Received:2009-10-25 Online:2012-03-30 Published:2023-04-06
About author:WEN Kai-ting(1962-), male, native of Dafang, Guizhou, a professor of Bijie University, M.S.D., engages in nonlinear analysis.
Supported by:
Supported by the Natural Science Foundation of Guizhou Province([2011]2093)； Supported by the Natural Scientific Research Foundation of Guizhou Provincial Education Department of China(2008072)

摘要/Abstract

摘要： In this paper, a new GLKKM theorem in L-convex spaces is established. As applications, a new fixed point theorem and a maximal element theorem are obtained in Lconvex spaces. Finally, equilibrium existence theorems for economies and qualitative games in L-convex spaces are yielded.

关键词: L-convex space, fixed point, maximal element, abstract economy, equilibrium

Abstract: In this paper, a new GLKKM theorem in L-convex spaces is established. As applications, a new fixed point theorem and a maximal element theorem are obtained in Lconvex spaces. Finally, equilibrium existence theorems for economies and qualitative games in L-convex spaces are yielded.

Key words: L-convex space, fixed point, maximal element, abstract economy, equilibrium

中图分类号:

O177.91

文开庭. 一个新的GLKKM定理及其对抽象经济的应用[J]. 数学季刊, 2012, 27(1): 63-67.

WEN Kai-ting. A New GLKKM Theorem and Its Application to Abstract Economies[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(1): 63-67.

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