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Mathematical Programming with System of Equilibrium Constraints
[[abstract]]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