Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps
نویسنده
چکیده
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 The second author was in part supported by a grant from IPM (No. 85470015) 220 A.P. Farajzadeh et. al. CUBO 12, 1 (2010) 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. RESUMEN En este art́ıculo, 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.
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