On quasivariational inclusion problems of type I and related problems

Authors:
Lai-Jiu Lin;Nguyen Xuan Tan
Affiliations:
Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058;Institute of Mathematics, Hanoi, Vietnam 10307
Venue:
Journal of Global Optimization
Year:
2007

Citing 2
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Abstract

The quasivariational inclusion problems are formulated and sufficient conditions on the existence of solutions are shown. As special cases, we obtain several results on the existence of solutions of a general vector ideal (proper, Pareto, weak) quasi-optimization problems, of quasivariational inequalities, and of vector quasi-equilibrium problems. Further, we prove theorems on the existence for solutions of the sum of these inclusions. As corollaries, we shall show several results on the existence of solutions to another problems in the vector optimization problems concerning multivalued mappings.