Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping |
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| Authors: | S. H. Wang J. Y. Fu |
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| Affiliation: | (1) Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China;(2) Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330031, China |
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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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| Keywords: | Generalized vector quasi-equilibrium problem Set-valued mapping Continuous selection Fixed point C-convexity |
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