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Stampacchia Generalized Vector Quasi-Equilibrium Problem II
Stampacchia 广义向量拟均衡问题II

Keywords: Generalized vector quasi-equilibrium problem,locally convex space,$C$-diagonally quasi-convex,continuous selection,fixed point
广义向量拟均衡问题
,局部凸空间,$C$-对角拟凸,连续选择,不动点.

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Abstract:

In this article, the Stampacchia generalized vector quasi-equilibrium problem is introduced, and the existence of solution is studied by virtue of the new concept of $C$-diagonally quasi-convex. Since the problem includes many variational inequality problems and equilibrium problems as special cases, the existence theorems extend and improve some existing results in the recent references: 1) releasing the restriction to the continuity of the mapping; 2) extending the mapping from numeric type to vector type.

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