The Equilibrium Existence Theorem for Systems of General Quasiequilibrium Problems 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 a GFC-KKM theorem is established in GFC-spaces. As applications, a matching theorem and a maximal element theorem are obtained. Our results unify, improve and generalize some known results in recent reference. Finally, an equilibrium existence theorem for systems of general quasiequilibrium problems is yielded in GFC-spaces.

Publisher

Trans Tech Publications, Ltd.

Reference21 articles.

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2. N. X. Hai, P. Q. Khanh and N. H. Quan, Nonlinear Anal., Vol. 71(2009), p.6170.

3. P. Q. Khanh, N. H. Quan, Quan, Nonlinear Anal., Vol. 72(2010), p.2706.

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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