A New Generalization of Browder Fixed Point Theorem with Applications

X. Wu; Y. Xu

doi:10.1515/JAA.1998.205

Published by De Gruyter June 4, 2010

A New Generalization of Browder Fixed Point Theorem with Applications

X. Wu

and Y. Xu

From the journal Journal of Applied Analysis

https://doi.org/10.1515/JAA.1998.205

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Abstract

In the present paper, a new generalization of Browder fixed point theorem is obtained. As its applications, we obtain some generalized versions of Browder's theorems for quasi-variational inequality and Ky Fan's minimax inequality and minimax principle.

Key words and phrases.: Convex space; multivalued mapping; upper semicontinuous; acyclic set

Received: 1996-07-29

Revised: 1997-01-17

Published Online: 2010-06-04

Published in Print: 1998-December

A New Generalization of Browder Fixed Point Theorem with Applications

Abstract

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