Existence Results for Generalized Vector Equilibrium Problems with Multivalued Mappings via KKM Theory

Donal O'Regan

Existence Results for Generalized Vector Equilibrium Problems with Multivalued Mappings via KKM Theory

Donal O'Regan

Mathematics

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4 Citations (Scopus)

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). Copyright (C) 2008 A. P. Farajzadeh et al.

Original language	English (Ireland)
Article number	968478
Journal	Abstract And Applied Analysis
Volume	2008
Publication status	Published - 1 Aug 2008

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Farajzadeh, AP,Amini-Harandi, A,O'Regan, D

Cite this

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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). Copyright (C) 2008 A. P. Farajzadeh et al.",

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AB - 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). Copyright (C) 2008 A. P. Farajzadeh et al.

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JO - Abstract And Applied Analysis

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Existence Results for Generalized Vector Equilibrium Problems with Multivalued Mappings via KKM Theory

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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