Approximation of common fixed points of family of asymptotically nonexpansive mappings

Eric U. Ofoedu, Habtu Zegeye, Naseer Shahzad

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper, we introduce a new iteration process for approximation of common fixed point of countably infinite family of nonself asymptotically nonexpansive mappings in uniformly convex Banach spaces, and prove weak and strong convergence of our iteration process to a common fixed point of these operators. Our theorems extend, generalize and unify many recently announced results. Our iteration process, corollaries and methods of proof are of independent interest.

Original languageEnglish
Pages (from-to)611-624
Number of pages14
JournalBulletin of the Malaysian Mathematical Sciences Society
Volume36
Issue number3
Publication statusPublished - Jul 18 2013

Fingerprint

Asymptotically Nonexpansive Mapping
Common Fixed Point
Iteration
Approximation
Weak and Strong Convergence
Uniformly Convex Banach Space
Corollary
Generalise
Operator
Theorem
Family

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

@article{5c0a7bd7bae14a0aa856e67dfcbcef13,
title = "Approximation of common fixed points of family of asymptotically nonexpansive mappings",
abstract = "In this paper, we introduce a new iteration process for approximation of common fixed point of countably infinite family of nonself asymptotically nonexpansive mappings in uniformly convex Banach spaces, and prove weak and strong convergence of our iteration process to a common fixed point of these operators. Our theorems extend, generalize and unify many recently announced results. Our iteration process, corollaries and methods of proof are of independent interest.",
author = "Ofoedu, {Eric U.} and Habtu Zegeye and Naseer Shahzad",
year = "2013",
month = "7",
day = "18",
language = "English",
volume = "36",
pages = "611--624",
journal = "Bulletin of the Malaysian Mathematical Sciences Society",
issn = "0126-6705",
publisher = "Springer Science+Business Media Singapore Private Limited",
number = "3",

}

Approximation of common fixed points of family of asymptotically nonexpansive mappings. / Ofoedu, Eric U.; Zegeye, Habtu; Shahzad, Naseer.

In: Bulletin of the Malaysian Mathematical Sciences Society, Vol. 36, No. 3, 18.07.2013, p. 611-624.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Approximation of common fixed points of family of asymptotically nonexpansive mappings

AU - Ofoedu, Eric U.

AU - Zegeye, Habtu

AU - Shahzad, Naseer

PY - 2013/7/18

Y1 - 2013/7/18

N2 - In this paper, we introduce a new iteration process for approximation of common fixed point of countably infinite family of nonself asymptotically nonexpansive mappings in uniformly convex Banach spaces, and prove weak and strong convergence of our iteration process to a common fixed point of these operators. Our theorems extend, generalize and unify many recently announced results. Our iteration process, corollaries and methods of proof are of independent interest.

AB - In this paper, we introduce a new iteration process for approximation of common fixed point of countably infinite family of nonself asymptotically nonexpansive mappings in uniformly convex Banach spaces, and prove weak and strong convergence of our iteration process to a common fixed point of these operators. Our theorems extend, generalize and unify many recently announced results. Our iteration process, corollaries and methods of proof are of independent interest.

UR - http://www.scopus.com/inward/record.url?scp=84880125299&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880125299&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84880125299

VL - 36

SP - 611

EP - 624

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

SN - 0126-6705

IS - 3

ER -