Strong convergence theorems for approximating common fixed points of families of nonexpansive mappings and applications

D. Sahu (), V. Colao () and G. Marino ()

Journal of Global Optimization, 2013, vol. 56, issue 4, 1651 pages

Abstract: An implicit algorithm for finding common fixed points of an uncountable family of nonexpansive mappings is proposed. A new inexact iteration method is also proposed for countable family of nonexpansive mappings. Several strong convergence theorems based on our main results are established in the setting of Banach spaces. Both algorithms are applied for finding zeros of accretive operators and for solving convex minimization, split feasibility and equilibrium problems. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Fixed point; Nonexpansive mappings; Accretive operators; Resolvent operator split feasibility problem; Equilibrium problem (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-9929-9

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