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

A. P. Farajzadeh | Zendy; A. Amini-Harandi | Zendy; Donal O’Regan | Zendy

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

Author(s) -

A. P. Farajzadeh,

A. Amini-Harandi,

Donal O’Regan

Publication year - 2008

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2008/968478

Subject(s) - mathematics , sign (mathematics) , set (abstract data type) , pure mathematics , fang , solution set , topology (electrical circuits) , mathematical analysis , combinatorics , computer science , programming language , ecology , biology

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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