Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps

Naseer Shahzad; Habtu Zegeye

doi:10.1016/j.amc.2006.11.152

Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps

Naseer Shahzad
, Habtu Zegeye

Mathematics & Statistical Sciences

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

53 Citations (Scopus)

Abstract

The aim of this paper is to prove strong convergence of a modified implicit iteration process to a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings. An immediate corollary of our theorems provides an affirmative response to a question raised by Xu and Ori [H.K. Xu, R. Ori, An implicit iterative process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767-773].

Original language	English
Pages (from-to)	1058-1065
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	189
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.11.152
Publication status	Published - Jun 15 2007

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.amc.2006.11.152

Cite this

@article{df5191a8e135476797528c3ae2fab167,

title = "Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps",

abstract = "The aim of this paper is to prove strong convergence of a modified implicit iteration process to a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings. An immediate corollary of our theorems provides an affirmative response to a question raised by Xu and Ori [H.K. Xu, R. Ori, An implicit iterative process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767-773].",

author = "Naseer Shahzad and Habtu Zegeye",

year = "2007",

month = jun,

day = "15",

doi = "10.1016/j.amc.2006.11.152",

language = "English",

volume = "189",

pages = "1058--1065",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "2",

}

TY - JOUR

T1 - Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps

AU - Shahzad, Naseer

AU - Zegeye, Habtu

PY - 2007/6/15

Y1 - 2007/6/15

N2 - The aim of this paper is to prove strong convergence of a modified implicit iteration process to a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings. An immediate corollary of our theorems provides an affirmative response to a question raised by Xu and Ori [H.K. Xu, R. Ori, An implicit iterative process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767-773].

AB - The aim of this paper is to prove strong convergence of a modified implicit iteration process to a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings. An immediate corollary of our theorems provides an affirmative response to a question raised by Xu and Ori [H.K. Xu, R. Ori, An implicit iterative process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767-773].

UR - https://www.scopus.com/pages/publications/34249090516

UR - https://www.scopus.com/pages/publications/34249090516#tab=citedBy

U2 - 10.1016/j.amc.2006.11.152

DO - 10.1016/j.amc.2006.11.152

M3 - Article

AN - SCOPUS:34249090516

SN - 0096-3003

VL - 189

SP - 1058

EP - 1065

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this