Mathematical Programming with System of Equilibrium Constraints

Authors:
Lai-Jiu Lin
Affiliations:
Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058
Venue:
Journal of Global Optimization
Year:
2007

Citing 2
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Hybrid inclusion and disclusion systems with applications to equilibria and parametric optimization

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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.