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

重庆交通大学学报(自然科学版) ›› 1999, Vol. 18 ›› Issue (1): 131-134.

• • 上一篇    

H-空间中的非空交定理及其应用

汪达成   

  1. 重庆交通学院计算机系, 400074
  • 收稿日期:1997-09-22 出版日期:1999-02-20 发布日期:2016-10-31
  • 作者简介:汪达成,男,1951年生,副教授.

Nonempty Intersection Theorems with Applications in H-Spaces

Wang Dacheng   

  1. Department of Computers, Chongqing Jiaotong Institute, 400074
  • Received:1997-09-22 Online:1999-02-20 Published:2016-10-31

摘要: 证明了H-空间中几个新型非空交定理,作为应用,我们得到了H-空间中几个向量值极大极小定理和不动点定理,并研究了抽象经济平衡问题,结果包含文[1~3]中相应结果为特例

关键词: H-空间, H-凸集, H-紧集, 非空交性质, 经济平衡问题

Abstract: In this paper, some new types of monempty intersection theorems are proved in H-spaces.Also applications, some vector-valued minimax theorems and fixed point theorems are obtained, and the equilibrium problems for abstract economies are studied.The results presented in this paper contain the corresponding results in [1-3] as their special cases.

Key words: H-space, H-convex set, H-compact set, the nonempty intersection property, economyequilibrium problem