Variational relation problems and equivalent forms of generalized Fan‐Browder fixed point theorem with applications to Stampacchia equilibrium problems

Variational relation problems and equivalent forms of generalized Fan‐Browder fixed point theorem with applications to Stampacchia equilibrium problems

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Article ID: iaor20124138
Volume: 53
Issue: 2
Start Page Number: 215
End Page Number: 229
Publication Date: Jun 2012
Journal: Journal of Global Optimization
Authors:
Keywords: programming: nonlinear
Abstract:

In this paper, we study the existence theorems of solution for variational relation problems. From the existence theorems of solution for variational relation problems, we study equivalent forms of generalized Fan‐Browder fixed point theorem, existence theorems of solutions for Stampacchia vector equilibrium problems and generalized Stampacchia vector equilibrium problems. Our results contains many orginal results and have many applications in Nonlinear Analysis.

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