The Study of KKM Theorems With Applications to Vector Equilibrium Problems and Implict Vector Variational Inequalities Problems

Authors:
Lai-Jiu Lin;Hsiu-Li Chen
Affiliations:
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:
2005

Citing 8
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Abstract

In this paper, we establish some equivalence relations between coincidence theorems and KKM-type theorems. We also obtain some new coincidence theorems and fixed point theorems. Applying the KKM-type theorems we obtain the existence theorems of generalized vector equilibrium problems. From these results, some existence theorems of generalized vector implicit variational inequality problems are established in this paper.