Common fixed point and approximation results for generalized (f, g)-weak contractions

Farhana Akbar; Abdul Rahim Khan; Nazra Sultana

doi:10.1186/1687-1812-2012-75

Common fixed point and approximation results for generalized (f, g)-weak contractions

Farhana Akbar
, Abdul Rahim Khan^*
, Nazra Sultana

^*Corresponding author for this work

Department of Mathematics

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

6 Scopus citations

Abstract

The existence of common fixed points is established for three mappings where T is generalized (f, g)-weakly contractive mapping on a nonempty subset of a Banach space. As applications, the invariant approximation results are proved. Our results unify and improve several recent results in the literature.

Original language	English
Article number	75
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2012
DOIs	https://doi.org/10.1186/1687-1812-2012-75
State	Published - 2012

Keywords

Banach operator pair
Common fixed point
Generalized (f, g)-nonexpansive maps
Generalized (f, g)-weakly contractive maps
Invariant approximation

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/1687-1812-2012-75

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title = "Common fixed point and approximation results for generalized (f, g)-weak contractions",

abstract = "The existence of common fixed points is established for three mappings where T is generalized (f, g)-weakly contractive mapping on a nonempty subset of a Banach space. As applications, the invariant approximation results are proved. Our results unify and improve several recent results in the literature.",

keywords = "Banach operator pair, Common fixed point, Generalized (f, g)-nonexpansive maps, Generalized (f, g)-weakly contractive maps, Invariant approximation",

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AU - Akbar, Farhana

AU - Khan, Abdul Rahim

AU - Sultana, Nazra

PY - 2012

Y1 - 2012

N2 - The existence of common fixed points is established for three mappings where T is generalized (f, g)-weakly contractive mapping on a nonempty subset of a Banach space. As applications, the invariant approximation results are proved. Our results unify and improve several recent results in the literature.

AB - The existence of common fixed points is established for three mappings where T is generalized (f, g)-weakly contractive mapping on a nonempty subset of a Banach space. As applications, the invariant approximation results are proved. Our results unify and improve several recent results in the literature.

KW - Banach operator pair

KW - Common fixed point

KW - Generalized (f, g)-nonexpansive maps

KW - Generalized (f, g)-weakly contractive maps

KW - Invariant approximation

UR - https://www.scopus.com/pages/publications/84873811230

U2 - 10.1186/1687-1812-2012-75

DO - 10.1186/1687-1812-2012-75

M3 - Article

AN - SCOPUS:84873811230

SN - 1687-1820

VL - 2012

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

M1 - 75

ER -

Common fixed point and approximation results for generalized (f, g)-weak contractions

Abstract

Keywords

ASJC Scopus subject areas

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