臺灣博碩士論文加值系統

在這一篇文章中，我們介紹系統之向量擬平衡點問題並證明其解的存在性。根據我們的結果可以推導出系統之向量擬鞍點問題解的存在性定理並利用此結果證明系統之廣義的擬極小極大解的存在性。更進一步，我們也將其應用到平衡限制條件下 mathematical program、semi-infinite及 bilevel問題

In this paper, we introduce systems of vector quasi equilibrium problems and prove the existence of their solutions. As applications of our results, we derive the theorem for solution of system of vector quasi-saddle point problem and then prove the existences of a solution of system of generalized quasi-minimax inequalities. Further application of our results is also given to the mathematical program with equilibrium constraint, semi-infinite and bilevel problems.

目錄
Content

1.Introduction.............................................1
2.Preliminaries............................................7
3.The Existence Results for a Solution of System of Simultaneous Generalized Vector Quasi-Equilibrium Problems..................................................11
4.Applications to Systems of Quasi-saddle Point Problems and System of Quasi-minimax Inequalities..................35
5.Applications to Mathematical Program with Equilibrium Constraint, Semi-Infinite and Bilevel Problems...........39
References................................................46

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