Sensitivity analysis for nonlinear generalized mixed implicit equilibrium problems with non-monotone set-valued mappings |
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Institution: | 1. Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China;2. Department of Mathematics, Sichuan University of Sciences and Engineering, Zigong, Sichuan 643000, PR China;3. Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Korea |
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Abstract: | In this paper, we introduce and study a new class of nonlinear generalized mixed implicit equilibrium problems with non-monotone 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. |
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