Existence theorems of systems of variational inclusion problems with applications

Authors:
Lai-Jiu Lin;Song Yu Wang;Chih-Sheng Chuang
Affiliations:
Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058;Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058;Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058
Venue:
Journal of Global Optimization
Year:
2008

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Abstract

In this paper, we study the existence theorems of systems of variational inclusions problems. As consequences of our results, we study existence theorems of systems of generalized vector quasi-equilibrium problems, mathematical program with systems of variational inclusion constraints, bilevel problem with systems of constraints.