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

Authors:
Wei-Shih Du
Affiliations:
Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, Taiwan 802
Venue:
Journal of Global Optimization
Year:
2010

Citing 7
Cited 0

Some Feasibility Issues in Mathematical Programs with Equilibrium Constraints

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Abstract

In this paper, we first establish the existence theorems of the solution of hybrid inclusion and disclusion systems, from which we study mixed types of systems of generalized quasivariational inclusion and disclusion problems and systems of generalized vector quasiequilibrium problems. Some applications of existence theorems to feasible points for various mathematical programs with variational constraints or equilibrium constraints, system of vector saddle point and system of minimax theorem are also given.