Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space

Farrukh Mukhamedov; Mansoor Saburov

doi:10.1155/2010/719631

Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space

Farrukh Mukhamedov, Mansoor Saburov

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

8 Citations (Scopus)

Abstract

We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space.

Original language	English
Article number	719631
Journal	Fixed Point Theory and Applications
Volume	2010
DOIs	https://doi.org/10.1155/2010/719631
Publication status	Published - Jan 2010
Externally published	Yes

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

Access to Document

10.1155/2010/719631

Cite this

@article{c37ca374139048bba08bf315c2d1b8bb,

title = "Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space",

abstract = "We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space.",

author = "Farrukh Mukhamedov and Mansoor Saburov",

year = "2010",

month = jan,

doi = "10.1155/2010/719631",

language = "English",

volume = "2010",

journal = "Fixed Point Theory and Applications",

issn = "1687-1820",

publisher = "Springer Publishing Company",

}

TY - JOUR

T1 - Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space

AU - Mukhamedov, Farrukh

AU - Saburov, Mansoor

PY - 2010/1

Y1 - 2010/1

N2 - We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space.

AB - We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space.

UR - http://www.scopus.com/inward/record.url?scp=77957922791&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957922791&partnerID=8YFLogxK

U2 - 10.1155/2010/719631

DO - 10.1155/2010/719631

M3 - Article

AN - SCOPUS:77957922791

SN - 1687-1820

VL - 2010

JO - Fixed Point Theory and Applications

JF - Fixed Point Theory and Applications

M1 - 719631

ER -

Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in banach space

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this