Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps

In this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma. These results give a positive answer to an open problem proposed by Chen and Hou and generalize...

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Bibliographic Details
Published in:	Cubo (Temuco, Chile) Vol. 12; no. 1; pp. 219 - 230
Main Authors:	A.P Farajzadeh, A Amini-Harandi, D O'Regan, R.P Agarwal
Format:	Journal Article
Language:	English Portuguese
Published:	Universidad de La Frontera 01-01-2010
Subjects:	Pseudomonotone bifunction Quasimonotone bifunction Strong vector equilibrium Upper sign continuity
Online Access:	Get full text
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Summary:	In this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma. These results give a positive answer to an open problem proposed by Chen and Hou and generalize many important results in the recent literature.En este artículo, establecemos algunos resultados de existencia para problemas de equilibrio strong vector en espacios vectoriales topológicos (abreviadamente, SVEP). La salubilidad del SVEP es presentada usando el lema de Fan-KKM. Estos resultados dan una respuesta positiva a problemas abiertos propuestos por Chen y Hon y generalizan varios resultados importantes en la literatura reciente.
ISSN:	0716-7776 0719-0646
DOI:	10.4067/S0719-06462010000100018