Iterative Methods for Nonexpansive Mappings in Banach Spaces

Yonghong Yao; Yeong-Cheng Liou; Naseer Shahzad; Nadia Shahzad

doi:10.1080/01630563.2010.532268

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Iterative Methods for Nonexpansive Mappings in Banach Spaces

Journal article

Peer reviewed

Iterative Methods for Nonexpansive Mappings in Banach Spaces

Yonghong Yao, Yeong-Cheng Liou, Naseer Shahzad and Nadia Shahzad

Numerical functional analysis and optimization, Vol.32(5), pp.583-592

11/04/2011

DOI: https://doi.org/10.1080/01630563.2010.532268

Abstract

Banach spaces

Fixed point

Nonexpansive mapping

Sunny nonexpansive mapping

In this article, we suggest and analyze two methods for finding fixed points of nonexpansive mappings in Banach spaces. We prove that the proposed methods converge strongly to a fixed point of nonexpansive mappings.

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Title: Iterative Methods for Nonexpansive Mappings in Banach Spaces
Creators - without role: Yonghong Yao - Tianjin Polytechnic University
Yeong-Cheng Liou - Cheng Shiu University
Naseer Shahzad - Department of Mathematics , King Abdul Aziz University
Nadia Shahzad - King Abdulaziz University
Publication Details: Numerical functional analysis and optimization, Vol.32(5), pp.583-592
Publisher: Taylor & Francis Group
Identifiers: 9936812608331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article