A fuzzy fixed-point theorem and its applications to maximal elements and Nash equilibria in noncompact CAT(0) spaces

Author:

Lu Haishu1,Li Rong1

Affiliation:

1. School of Business, Jiangsu University of Technology, Changzhou, Jiangsu, P.R. China

Abstract

In this paper, based on the KKM method, we prove a new fuzzy fixed-point theorem in noncompact CAT(0) spaces. As applications of this fixed-point theorem, we obtain some existence theorems of fuzzy maximal element points. Finally, we utilize these fuzzy maximal element theorems to establish some new existence theorems of Nash equilibrium points for generalized fuzzy noncooperative games and fuzzy noncooperative qualitative games in noncompact CAT(0) spaces. The results obtained in this paper generalize and extend many known results in the existing literature.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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