Strong convergence of modi ed iterative algorithm for family of asymptotically nonexpansive mappings

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Ugwunnadi Godwin Chidi

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2016 | Volume:7 | Issue:2 Page(s): 93-108

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Title

Strong convergence of modi ed iterative algorithm for family of asymptotically nonexpansive mappings

Author(s)

Ugwunnadi Godwin Chidi | Issue Writer Certificate

Keywords

Fixed point

Banach space

Asymptotically nonexpansive mapping

Abstract

In this paper we introduce new modi ed implicit and explicit algorithms and prove strong convergence of the two algorithms to a common xed point of a family of uniformly asymptotically regular Asymptotically nonexpansive mappings in a real re exive Banach space with a uniformly G^ateaux di erentiable norm. Our result is applicable in Lp(`p) spaces, 1 < p < 1 and consequently in sobolev spaces.

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APA: Copy

Ugwunnadi, Godwin Chidi. (2016). Strong convergence of modi ed iterative algorithm for family of asymptotically nonexpansive mappings. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 7(2), 93-108. SID. https://sid.ir/paper/340719/en

Vancouver: Copy

Ugwunnadi Godwin Chidi. Strong convergence of modi ed iterative algorithm for family of asymptotically nonexpansive mappings. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2016;7(2):93-108. Available from: https://sid.ir/paper/340719/en

IEEE: Copy

Godwin Chidi Ugwunnadi, “Strong convergence of modi ed iterative algorithm for family of asymptotically nonexpansive mappings,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 7, no. 2, pp. 93–108, 2016, [Online]. Available: https://sid.ir/paper/340719/en

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