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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China

    S. H. Wang

  2. Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330031, China

    S. H. Wang & J. Y. Fu

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  1. S. H. Wang
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  2. J. Y. Fu
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Correspondence to S. H. Wang.

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Wang, S.H., Fu, J.Y. Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping. J Glob Optim 44, 99–110 (2009). https://doi.org/10.1007/s10898-008-9309-7

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