Systems of equilibrium problems with applications to new variants of Ekeland's variational principle, fixed point theorems and parametric optimization problems

Authors:
Lai-Jiu Lin;Wei-Shih Du
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:
2008

Citing 6
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On the vectoral Ekeland's variational principle and minimal points in product spaces

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Existence of equilibria for multivalued mapping and its application to vectorial equilibria

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Systems of variational inclusion problems and differential inclusion problems with applications

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Abstract

In this paper, we first establish some existence theorems of systems of generalized vector equilibrium problems. From these results, we obtain new variants of Ekeland's variational principle in a Hausdorff t.v.s., a minimax theorem and minimization theorems. Some applications to the existence theorem of systems of semi-infinite problem, a variant of flower petal theorem and a generalization of Schauder's fixed point theorem are also given.