Open Access
december 2010 A Fixed Point-Equilibrium Theorem with Applications
Mircea Balaj
Bull. Belg. Math. Soc. Simon Stevin 17(5): 919-928 (december 2010). DOI: 10.36045/bbms/1292334066

Abstract

In this paper, using the Kakutani-Fan-Glicksberg fixed point theorem, we obtain an existence theorem of a point which is simultaneously fixed point for a given mapping and equilibrium point for a very general vector equilibrium problem. Finally some particular cases are discussed and three applications are given.

Citation

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Mircea Balaj. "A Fixed Point-Equilibrium Theorem with Applications." Bull. Belg. Math. Soc. Simon Stevin 17 (5) 919 - 928, december 2010. https://doi.org/10.36045/bbms/1292334066

Information

Published: december 2010
First available in Project Euclid: 14 December 2010

zbMATH: 1213.54061
MathSciNet: MR2777781
Digital Object Identifier: 10.36045/bbms/1292334066

Keywords: $C(x)$-quasiconvex mapping , equilibrium problem , fixed point Theorem , quasiconvex (quasiconcave) mapping

Rights: Copyright © 2010 The Belgian Mathematical Society

Vol.17 • No. 5 • december 2010
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