Common fixed point and invariant approximation results

Mujahid Abbas; Jong Kyu Kim

doi:10.4134/BKMS.2007.44.3.537

Common fixed point and invariant approximation results

Mujahid Abbas, Jong Kyu Kim

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

1 Citation (Scopus)

Abstract

Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in the setup of certain metrizable topological vector spaces are obtained. As applications, related results on best approximation are derived. Our results extend, generalize and unify various known results in the literature.

Original language	English
Pages (from-to)	537-545
Number of pages	9
Journal	Bulletin of the Korean Mathematical Society
Volume	44
Issue number	3
DOIs	https://doi.org/10.4134/BKMS.2007.44.3.537
Publication status	Published - Aug 2007
Externally published	Yes

Keywords

Asymptotically S-nonexpansive mapping
Best approximation
Common fixed point
Metrizable topological vector space
Uniformly R-subweakly commuting mapping

ASJC Scopus subject areas

General Mathematics

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10.4134/BKMS.2007.44.3.537

Cite this

@article{d334cca4ad304e10ba281ec5495df3b5,

title = "Common fixed point and invariant approximation results",

abstract = "Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in the setup of certain metrizable topological vector spaces are obtained. As applications, related results on best approximation are derived. Our results extend, generalize and unify various known results in the literature.",

keywords = "Asymptotically S-nonexpansive mapping, Best approximation, Common fixed point, Metrizable topological vector space, Uniformly R-subweakly commuting mapping",

author = "Mujahid Abbas and Kim, \{Jong Kyu\}",

year = "2007",

month = aug,

doi = "10.4134/BKMS.2007.44.3.537",

language = "English",

volume = "44",

pages = "537--545",

journal = "Bulletin of the Korean Mathematical Society",

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AU - Abbas, Mujahid

AU - Kim, Jong Kyu

PY - 2007/8

Y1 - 2007/8

N2 - Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in the setup of certain metrizable topological vector spaces are obtained. As applications, related results on best approximation are derived. Our results extend, generalize and unify various known results in the literature.

AB - Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in the setup of certain metrizable topological vector spaces are obtained. As applications, related results on best approximation are derived. Our results extend, generalize and unify various known results in the literature.

KW - Asymptotically S-nonexpansive mapping

KW - Best approximation

KW - Common fixed point

KW - Metrizable topological vector space

KW - Uniformly R-subweakly commuting mapping

UR - https://www.scopus.com/pages/publications/34548639274

U2 - 10.4134/BKMS.2007.44.3.537

DO - 10.4134/BKMS.2007.44.3.537

M3 - Article

AN - SCOPUS:34548639274

SN - 1015-8634

VL - 44

SP - 537

EP - 545

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 3

ER -

Common fixed point and invariant approximation results

Abstract

Keywords

ASJC Scopus subject areas

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