Convergence to a Common Fixed Point of a Finite Family of Generalized Asymptotically Nonexpansive Mappings

H. Zegeye, N. Shahzad, O. A. Daman

Research output: Contribution to journalArticle

Abstract

We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive mappings in Hilbert spaces. As a consequence, results on convergence to a common fixed point of a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense and asymptotically nonexpansive mappings are proved.

Original languageEnglish
Pages (from-to)1439-1451
Number of pages13
JournalBulletin of the Malaysian Mathematical Sciences Society
Volume38
Issue number4
DOIs
Publication statusPublished - Oct 9 2015

Fingerprint

Asymptotically Nonexpansive Mapping
Uniformly continuous
Common Fixed Point
Iterative Process
Hilbert space
Converge
Family

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

@article{3be3c069ac0e4a08a2fcaf9fc9159a59,
title = "Convergence to a Common Fixed Point of a Finite Family of Generalized Asymptotically Nonexpansive Mappings",
abstract = "We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive mappings in Hilbert spaces. As a consequence, results on convergence to a common fixed point of a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense and asymptotically nonexpansive mappings are proved.",
author = "H. Zegeye and N. Shahzad and Daman, {O. A.}",
year = "2015",
month = "10",
day = "9",
doi = "10.1007/s40840-014-0099-4",
language = "English",
volume = "38",
pages = "1439--1451",
journal = "Bulletin of the Malaysian Mathematical Sciences Society",
issn = "0126-6705",
publisher = "Springer Science+Business Media Singapore Private Limited",
number = "4",

}

Convergence to a Common Fixed Point of a Finite Family of Generalized Asymptotically Nonexpansive Mappings. / Zegeye, H.; Shahzad, N.; Daman, O. A.

In: Bulletin of the Malaysian Mathematical Sciences Society, Vol. 38, No. 4, 09.10.2015, p. 1439-1451.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Convergence to a Common Fixed Point of a Finite Family of Generalized Asymptotically Nonexpansive Mappings

AU - Zegeye, H.

AU - Shahzad, N.

AU - Daman, O. A.

PY - 2015/10/9

Y1 - 2015/10/9

N2 - We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive mappings in Hilbert spaces. As a consequence, results on convergence to a common fixed point of a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense and asymptotically nonexpansive mappings are proved.

AB - We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive mappings in Hilbert spaces. As a consequence, results on convergence to a common fixed point of a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense and asymptotically nonexpansive mappings are proved.

UR - http://www.scopus.com/inward/record.url?scp=84941089682&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84941089682&partnerID=8YFLogxK

U2 - 10.1007/s40840-014-0099-4

DO - 10.1007/s40840-014-0099-4

M3 - Article

VL - 38

SP - 1439

EP - 1451

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

SN - 0126-6705

IS - 4

ER -