Further investigation on iteration processes for pseudocontractive mappings with application

Eric U. Ofoedu; Habtu Zegeye

doi:10.1016/j.na.2011.08.015

Further investigation on iteration processes for pseudocontractive mappings with application

Eric U. Ofoedu
, Habtu Zegeye

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

A new iterative method for approximating fixed points of bounded and continuous pseudocontractive mapping is proposed and a strong convergence theorem is obtained. As an application, we prove that a slight modification of our new scheme could be employed for approximating zeros of bounded and continuous accretive operators. Our theorems extend and unify most of the results that have been proved for this class of mappings.

Original language	English
Pages (from-to)	153-162
Number of pages	10
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	75
Issue number	1
DOIs	https://doi.org/10.1016/j.na.2011.08.015
Publication status	Published - Jan 2012

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.na.2011.08.015

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abstract = "A new iterative method for approximating fixed points of bounded and continuous pseudocontractive mapping is proposed and a strong convergence theorem is obtained. As an application, we prove that a slight modification of our new scheme could be employed for approximating zeros of bounded and continuous accretive operators. Our theorems extend and unify most of the results that have been proved for this class of mappings.",

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AB - A new iterative method for approximating fixed points of bounded and continuous pseudocontractive mapping is proposed and a strong convergence theorem is obtained. As an application, we prove that a slight modification of our new scheme could be employed for approximating zeros of bounded and continuous accretive operators. Our theorems extend and unify most of the results that have been proved for this class of mappings.

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UR - https://www.scopus.com/pages/publications/80053961793#tab=citedBy

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DO - 10.1016/j.na.2011.08.015

M3 - Article

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

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Further investigation on iteration processes for pseudocontractive mappings with application

Abstract

All Science Journal Classification (ASJC) codes

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