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2008 Existence Results for Generalized Vector Equilibrium Problems with Multivalued Mappings via KKM Theory
A. P. Farajzadeh, A. Amini-Harandi, D. O'Regan
Abstr. Appl. Anal. 2008: 1-8 (2008). DOI: 10.1155/2008/968478

Abstract

We first define upper sign continuity for a set-valued mapping and then we consider two types of generalized vector equilibrium problems in topological vector spaces and provide sufficient conditions under which the solution sets are nonempty and compact. Finally, we give an application of our main results. The paper generalizes and improves results obtained by Fang and Huang in (2005).

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A. P. Farajzadeh. A. Amini-Harandi. D. O'Regan. "Existence Results for Generalized Vector Equilibrium Problems with Multivalued Mappings via KKM Theory." Abstr. Appl. Anal. 2008 1 - 8, 2008. https://doi.org/10.1155/2008/968478

Information

Published: 2008
First available in Project Euclid: 10 February 2009

zbMATH: 1157.49012
MathSciNet: MR2466223
Digital Object Identifier: 10.1155/2008/968478

Rights: Copyright © 2008 Hindawi

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