Strong convergence of an explicit iteration process for a totally asymptotically I-nonexpansive mapping in Banach spaces

Farrukh Mukhamedov; Mansoor Saburov

doi:10.1016/j.aml.2010.08.016

Strong convergence of an explicit iteration process for a totally asymptotically I-nonexpansive mapping in Banach spaces

Farrukh Mukhamedov
, Mansoor Saburov

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

17 Citations (Scopus)

Abstract

In this work we prove the strong convergence of an explicit iterative process to a common fixed point of a totally asymptotically I-nonexpansive mapping T and a totally asymptotically nonexpansive mapping I, defined on a nonempty closed convex subset of a uniformly convex Banach space.

Original language	English
Pages (from-to)	1473-1478
Number of pages	6
Journal	Applied Mathematics Letters
Volume	23
Issue number	12
DOIs	https://doi.org/10.1016/j.aml.2010.08.016
Publication status	Published - Dec 2010
Externally published	Yes

Keywords

A totally asymptotically I-nonexpansive mapping
A totally asymptotically nonexpansive mapping
Common fixed point
Explicit iteration process

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2010.08.016

Cite this

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abstract = "In this work we prove the strong convergence of an explicit iterative process to a common fixed point of a totally asymptotically I-nonexpansive mapping T and a totally asymptotically nonexpansive mapping I, defined on a nonempty closed convex subset of a uniformly convex Banach space.",

keywords = "A totally asymptotically I-nonexpansive mapping, A totally asymptotically nonexpansive mapping, Common fixed point, Explicit iteration process",

author = "Farrukh Mukhamedov and Mansoor Saburov",

note = "Funding Information: The authors acknowledges the MOSTI grant 01-01-08-SF0079 . Also, the authors would also like to thank a referee for his or her useful suggestions which allowed us to improve the content of the work. ",

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AU - Mukhamedov, Farrukh

AU - Saburov, Mansoor

N1 - Funding Information: The authors acknowledges the MOSTI grant 01-01-08-SF0079 . Also, the authors would also like to thank a referee for his or her useful suggestions which allowed us to improve the content of the work.

PY - 2010/12

Y1 - 2010/12

N2 - In this work we prove the strong convergence of an explicit iterative process to a common fixed point of a totally asymptotically I-nonexpansive mapping T and a totally asymptotically nonexpansive mapping I, defined on a nonempty closed convex subset of a uniformly convex Banach space.

AB - In this work we prove the strong convergence of an explicit iterative process to a common fixed point of a totally asymptotically I-nonexpansive mapping T and a totally asymptotically nonexpansive mapping I, defined on a nonempty closed convex subset of a uniformly convex Banach space.

KW - A totally asymptotically I-nonexpansive mapping

KW - A totally asymptotically nonexpansive mapping

KW - Common fixed point

KW - Explicit iteration process

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UR - https://www.scopus.com/pages/publications/77957925414#tab=citedBy

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DO - 10.1016/j.aml.2010.08.016

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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ER -

Strong convergence of an explicit iteration process for a totally asymptotically I-nonexpansive mapping in Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

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