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Tarafdar不动点定理的等价定理及其应用

罗元松

四川大学学报(自然科学版)2000,Vol.37Issue(3):352-357,6.
四川大学学报(自然科学版)2000,Vol.37Issue(3):352-357,6.

Tarafdar不动点定理的等价定理及其应用

THE EQUIVALENT THEOREM OF TARAFDAR FIXED POINT THEOREM WITH APPLICATION

罗元松1

作者信息

  • 1. 宜宾师专,四川宜宾644007
  • 折叠

摘要

Abstract

The author's purpose is to give a further generalization of Tarafdar fixed point theorem and to prove that this theorem is equivalent to Tarafdar theorem. As an application,the author used the result to study the section theorem in product H-space, the equilibrium problem of society and economic. Results presented in this paper improved and generalized the Walras theorem which plays an important pole in social and economical equilibrium problems,improved the famous Ky Fan section theorem. These theorems also develop the known corresponding results.

关键词

乘积H-空间/转移上(下)半连续/转移开(闭)值映象/H-拟凸(凹)性

Key words

product H-space/trans super (low) semi-continuous/trans open(close)mapping/Hquasi convexity(coneavity)

分类

数理科学

引用本文复制引用

罗元松..Tarafdar不动点定理的等价定理及其应用[J].四川大学学报(自然科学版),2000,37(3):352-357,6.

基金项目

四川省教委重点科研项目 ()

四川大学学报(自然科学版)

OA北大核心CSCD

0490-6756

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