Strong Convergence of a Hybrid Projection Algorithm for Approximation of a Common Element of Three Sets in Banach Spaces
نویسنده
چکیده
In this paper, we construct a new iterative scheme by hybrid projection method and prove strong convergence theorems for approximation of a common element of set of common fixed points of an infinite family of asymptotically quasi-φ-nonexpansive mappings, set of solutions to a variational inequality problem and set of common solutions to a system of generalized mixed equilibrium problems in a uniformly smooth and 2-uniformly convex real Banach space. Our results extend many important recent results in the literature. Key–Words: Asymptotically quasi-φ-nonexpansive mapping; Generalized mixed equilibrium problem; Uniformly smooth; 2-Uniformly convex; Hybrid projection method; Banach space
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