A modified Mann iterative scheme for a sequence of‎ ‎nonexpansive mappings and a monotone mapping with applications

Document Type: Research Paper

Authors

1 Science Department, karaj University

2 Department of Mathematics, Faculty of Science, I.Kh. International University,

Abstract

‎In a real Hilbert space‎, ‎an iterative scheme is considered to‎
‎obtain strong convergence which is an essential tool to find a‎
‎common fixed point for a countable family of nonexpansive mappings‎
‎and the solution of a variational inequality problem governed by a‎
‎monotone mapping‎. ‎In this paper‎, ‎we give a procedure which results‎
‎in developing Shehu's result to solve equilibrium problem‎. ‎Then‎,
‎we state more applications of this procedure‎. ‎Finally‎, ‎we‎
‎investigate some numerical examples which hold in our main‎
‎results‎.

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