Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping

Authors:
S. H. Wang;J. Y. Fu
Affiliations:
Department of Mathematics, Sichuan University, Chengdu, China 610064 and Department of Mathematics, Nanchang University, Nanchang, China 330031;Department of Mathematics, Nanchang University, Nanchang, China 330031
Venue:
Journal of Global Optimization
Year:
2009

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Abstract

In this paper, the solvability of Stampacchia generalized vector quasi-equilibrium problem (in short, GVQEP) with set-valued mapping is studied. By using continuous selection theorem and fixed point theorems, some existence theorems for (GVQEP) are obtained without any monotonicity assumption. These theorems unify and improve some results in the recent references.