Sensitivity analysis for nonlinear generalized mixed implicit equilibrium problems with non-monotone set-valued mappings

Authors:
Nan-Jing Huang;Heng-you Lan;Yeol Je Cho
Affiliations:
Department of Mathematics, Sichuan University, Chengdu, Sichuan, PR China;Department of Mathematics, Sichuan University of Sciences and Engineering, Zigong, Sichuan, PR China;Department of Mathematics Education, Gyeongsang National University, Chinju, Korea
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

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Abstract

In this paper, we introduce and study a new class of nonlinear generalized mixed implicit equilibrium problems with nonmonotone set-valued mappings. By using Wiener-Hopf equations and the Yosida approximation notion, we prove the existence of solutions and analyze the sensitivity of solutions for this class of nonlinear generalized mixed implicit equilibrium problems in Hilbert spaces. Our results are new and extend, improve and unify some recent results in this field.