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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Lin, LJ., Hsu, HW. Existences theorems of systems of vector quasi-equillibrium problems and mathematical programs with equilibrium constraint. J Glob Optim 37, 195–213 (2007). https://doi.org/10.1007/s10898-006-9044-x
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DOI: https://doi.org/10.1007/s10898-006-9044-x