Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings

H. Zegeye; N. Shahzad

doi:10.1186/1687-1812-2013-1

Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings

H. Zegeye
, N. Shahzad

Mathematics & Statistical Sciences

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

9 Citations (Scopus)

Abstract

We introduce an iterative process which converges strongly to the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings. As a consequence, convergence result to a common minimum-norm fixed point of a finite family of nonexpansive mappings is proved.

Original language	English
Article number	1
Journal	Fixed Point Theory and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1687-1812-2013-1
Publication status	Published - Jan 2013

All Science Journal Classification (ASJC) codes

Geometry and Topology
Applied Mathematics

Access to Document

10.1186/1687-1812-2013-1

Cite this

@article{e9b55cdc575d46c3bce7b34c2a9d3443,

title = "Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings",

abstract = "We introduce an iterative process which converges strongly to the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings. As a consequence, convergence result to a common minimum-norm fixed point of a finite family of nonexpansive mappings is proved.",

author = "H. Zegeye and N. Shahzad",

year = "2013",

month = jan,

doi = "10.1186/1687-1812-2013-1",

language = "English",

volume = "2013",

journal = "Fixed Point Theory and Applications",

issn = "1687-1820",

publisher = "Springer Nature",

}

TY - JOUR

T1 - Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings

AU - Zegeye, H.

AU - Shahzad, N.

PY - 2013/1

Y1 - 2013/1

N2 - We introduce an iterative process which converges strongly to the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings. As a consequence, convergence result to a common minimum-norm fixed point of a finite family of nonexpansive mappings is proved.

AB - We introduce an iterative process which converges strongly to the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings. As a consequence, convergence result to a common minimum-norm fixed point of a finite family of nonexpansive mappings is proved.

UR - https://www.scopus.com/pages/publications/84897519747

UR - https://www.scopus.com/pages/publications/84897519747#tab=citedBy

U2 - 10.1186/1687-1812-2013-1

DO - 10.1186/1687-1812-2013-1

M3 - Article

AN - SCOPUS:84897519747

SN - 1687-1820

VL - 2013

JO - Fixed Point Theory and Applications

JF - Fixed Point Theory and Applications

M1 - 1

ER -

Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this