Abstract

ABSTRACTIn this paper, we introduce a hybrid projection algorithm for two finite families of asymptotically quasi ϕ-nonexpansive mappings to establish a convergence theorem in smooth, strictly convex, and reflexive Banach spaces. As applications, we state the convergence of hybrid projection algorithm for two finite families of asymptotically quasi-nonexpansive mappings in Hilbert spaces and the convergence for a system of equilibrium problems.

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