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2013 Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings
Kanokwan Sitthithakerngkiet, Somyot Plubtieng
Abstr. Appl. Anal. 2013(SI60): 1-6 (2013). DOI: 10.1155/2013/952021

Abstract

Let K be a nonempty compact convex subset of a topological vector space. In this paper-sufficient conditions are given for the existence of x K such that F ( T ) V E P ( F ) , where F ( T ) is the set of all fixed points of the multivalued mapping T and VEP ( F ) is the set of all solutions for vector equilibrium problem of the vector-valued mapping F . This leads us to generalize and improve some existence results in the recent references.

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Kanokwan Sitthithakerngkiet. Somyot Plubtieng. "Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings." Abstr. Appl. Anal. 2013 (SI60) 1 - 6, 2013. https://doi.org/10.1155/2013/952021

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1262.47080
MathSciNet: MR3034898
Digital Object Identifier: 10.1155/2013/952021

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI60 • 2013
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