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系统科学与数学 2009
Stampacchia Generalized Vector Quasi-Equilibrium Problem II
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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.