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

Authors:
Lai-Jiu Lin
Affiliations:
Department of Mathematics, National Changhua University of Education, Changhua, Taiwan 50058
Venue:
Journal of Global Optimization
Year:
2012

Citing 4
Cited 0

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Applications of a fixed point theorem in G-convex space

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Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping

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Simultaneous variational relation problems and related applications

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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.