Generalized Variational Relation Problems with Applications

Generalized Variational Relation Problems with Applications

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Article ID: iaor20111386
Volume: 148
Issue: 1
Start Page Number: 1
End Page Number: 13
Publication Date: Jan 2011
Journal: Journal of Optimization Theory and Applications
Authors: ,
Abstract:

In this paper, we first obtain an existence theorem of the solutions for a variational relation problem. An existence theorem for a variational inclusion problem, a KKM theorem and an extension of the well know Ky Fan inequality will be established, as particular cases. Some applications concerning a saddle point problem with constraints, existence of a common fixed point for two mappings and an optimization problem with constraints, will be given in the last section of the paper.

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