Mann iteration process for monotone nonexpansive mappings

Buthinah Abdullatif Bin Dehaish; Mohamed Amine Khamsi

doi:10.1186/s13663-015-0416-0

Mann iteration process for monotone nonexpansive mappings

Buthinah Abdullatif Bin Dehaish^*
, Mohamed Amine Khamsi

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

32 Scopus citations

Abstract

Let (X,∥⋅∥) be a Banach space. Let C be a nonempty, bounded, closed, and convex subset of X and T: C → C be a monotone nonexpansive mapping. In this paper, it is shown that a technique of Mann which is defined by (Formula Presented.) is fruitful in finding a fixed point of monotone nonexpansive mappings.

Original language	English
Article number	177
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0416-0
State	Published - 30 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Bin Dehaish and Khamsi.

Keywords

Mann iteration process
fixed point
nonexpansive mapping
uniformly Lipschitzian mapping
uniformly convex Banach space

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/s13663-015-0416-0

Cite this

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KW - Mann iteration process

KW - fixed point

KW - nonexpansive mapping

KW - uniformly Lipschitzian mapping

KW - uniformly convex Banach space

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ER -

Mann iteration process for monotone nonexpansive mappings

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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