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Recommended by Wataru Takahashi We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of common solutions for generalized mixed equilibrium problems and the set of common fixed points of a sequence of nonexpansive mappings in Hilbert spaces. We show a strong convergence theorem under some suitable… (More)
In this paper, we introduce a new class of general mixed vector F-implicit complementarity problems and general mixed vector F-implicit variational inequality problems, and study the equivalence between of them under certain assumptions in Banach spaces. We also derive some new existence theorems of solutions for the general mixed vector F-implicit… (More)
In this paper, we prove the convergence of some new three-step iterative algorithms for a new system of generalized nonlinear mixed quasi-variational inclusions in q-uniformly smooth Banach spaces.