Approximating common fixed points of nearly asymptotically nonexpansive mappings

Safeer Hussain Khan; Mujahid Abbas

doi:10.1007/s10496-011-0076-9

Approximating common fixed points of nearly asymptotically nonexpansive mappings

Safeer Hussain Khan
, Mujahid Abbas

Mathematics and Statistics

Qatar University
Lahore University of Management Sciences

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

1 Scopus citations

Abstract

We use an iteration scheme to approximate common fixed points of nearly asymptotically nonexpansive mappings. We generalize corresponding theorems of [1] to the case of two nearly asymptotically nonexpansivemappings and those of [9] not only to a larger class of mappings but also with better rate of convergence. © 2011 Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg.

Original language	English
Pages (from-to)	76-91
Number of pages	16
Journal	Analysis in Theory and Applications
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s10496-011-0076-9
State	Published - Mar 1 2011

Keywords

common fixed point
iteration scheme
nearly asymptotically nonexpansive mapping
rate of convergence
weak and strong convergence

Access to Document

10.1007/s10496-011-0076-9

Cite this

@article{f3e05e979b084d87bd396f24ad994bc5,

title = "Approximating common fixed points of nearly asymptotically nonexpansive mappings",

abstract = "We use an iteration scheme to approximate common fixed points of nearly asymptotically nonexpansive mappings. We generalize corresponding theorems of [1] to the case of two nearly asymptotically nonexpansivemappings and those of [9] not only to a larger class of mappings but also with better rate of convergence. {\textcopyright} 2011 Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg.",

keywords = "common fixed point, iteration scheme, nearly asymptotically nonexpansive mapping, rate of convergence, weak and strong convergence",

author = "Khan, \{Safeer Hussain\} and Mujahid Abbas",

year = "2011",

month = mar,

day = "1",

doi = "10.1007/s10496-011-0076-9",

language = "English",

volume = "27",

pages = "76--91",

journal = "Analysis in Theory and Applications",

issn = "1672-4070",

number = "1",

}

TY - JOUR

T1 - Approximating common fixed points of nearly asymptotically nonexpansive mappings

AU - Khan, Safeer Hussain

AU - Abbas, Mujahid

PY - 2011/3/1

Y1 - 2011/3/1

N2 - We use an iteration scheme to approximate common fixed points of nearly asymptotically nonexpansive mappings. We generalize corresponding theorems of [1] to the case of two nearly asymptotically nonexpansivemappings and those of [9] not only to a larger class of mappings but also with better rate of convergence. © 2011 Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg.

AB - We use an iteration scheme to approximate common fixed points of nearly asymptotically nonexpansive mappings. We generalize corresponding theorems of [1] to the case of two nearly asymptotically nonexpansivemappings and those of [9] not only to a larger class of mappings but also with better rate of convergence. © 2011 Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg.

KW - common fixed point

KW - iteration scheme

KW - nearly asymptotically nonexpansive mapping

KW - rate of convergence

KW - weak and strong convergence

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79953101490&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=79953101490&origin=inward

U2 - 10.1007/s10496-011-0076-9

DO - 10.1007/s10496-011-0076-9

M3 - Article

SN - 1672-4070

VL - 27

SP - 76

EP - 91

JO - Analysis in Theory and Applications

JF - Analysis in Theory and Applications

IS - 1

ER -

Approximating common fixed points of nearly asymptotically nonexpansive mappings

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this