Variational inclusions problems with applications to Ekeland's variational principle, fixed point and optimization problems

Authors:
Lai-Jiu Lin
Affiliations:
Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058
Venue:
Journal of Global Optimization
Year:
2007

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

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Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints

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Abstract

In this paper, we prove the existence theorems of two types of systems of variational inclusions problem. From these existence results, we establish Ekeland's variational principle on topological vector space, existence theorems of common fixed point, existence theorems for the semi-infinite problems, mathematical programs with fixed points and equilibrium constraints, and vector mathematical programs with variational inclusions constraints.