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Viscosity approximation methods for variational inequality problems, fixed point problems of two nonexpansive mappings without commutativity assumption and equilibrium problems with applications

Meng LI, HaiYun ZHOU, QiuMei SUN


In this paper, we first introduce a new viscosity iterative method for finding a common element of the set of solutions of the variational inequality, the set of solutions of an equilibrum problem, and the set of common fixed points for two nonexpansive mappings without commutativity in Hilbert spaces. The results presented extend the corresponding results of E.Jankaew et al.[18], and S.Plubtieng et al[13].


Equilibrium, Variational inequality,Viscosity iterative method,Common fixed points

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