Existences theorems of systems of vector quasi-equillibrium problems and mathematical programs with equilibrium constraint |
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Authors: | Lai-Jiu Lin Huai-Wen Hsu |
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Affiliation: | (1) Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan, R.O.C |
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Abstract: | 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 existence theorems for solution of system of vector quasi-saddle point problem, the existences theorems of a solution of system of generalized quasi-minimax inequalities, the mathematical program with equilibrium constraint, semi-infinite and bilevel problems. |
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Keywords: | Quasi-equilibrium problem Mathematical programs with equilibrium constraint Minimax theorem Bilevel problem Quasi-saddle point problem |
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