On Equilibrium for Abstract Economies in GFC-Spaces

Author:

Wen Kai Ting1,Li He Rui1

Affiliation:

1. Bijie University

Abstract

In this paper, the GFC-KKM mapping is introduced and GFC-KKM theorems are established in GFC-spaces. As applications, a fixed point theorem and maximal element theorem are obtained. Our results unify, improve and generalize some known results in recent reference. Finally, equilibrium existence theorems for qualitative games and abstract economies are yielded in GFC-spaces.

Publisher

Trans Tech Publications, Ltd.

Reference38 articles.

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4. K. T. Wen, 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce, Vol. 2(2011), p.923.

5. K. T. Wen, H. R. Li, 2011 World Congress on Engineering and Technology, Vol. 1(2011), p.543.

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