Mathematical Programming with System of Equilibrium Constraints
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In this paper, we study the mathematical program with system of equilibrium constraints. This problem contains bilevel program with system of equilibrium constraints, semi-infinite program with system of equilibrium constraints, mathematical program with Nash equilibrium constraints, mathematical program with system of mixed variational like inequalities constraints. We establish the existence theorems of mathematical program with system of equilibrium constraints under various assumptions.
KeywordsMathematical program (resp. bilevel problem, semi-infinite problem) with system of equilibrium constraints Concave (resp. convex) multivalued map Upper (resp. lower) semicontinuous multivalued map
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