Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps

Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps

A common fixed point theorem for generalized φ,ϕ,L f,g-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves som...

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Main Authors: Savita Rathee, Anil Kumar, Kenan Tas
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/752107
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spelling doaj-425e1b7a172e4d31ae268f5974f621bc2020-11-24T21:57:25ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/752107752107Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction MapsSavita Rathee0Anil Kumar1Kenan Tas2Department of Mathematics, Maharshi Dayanand University, Rohtak, Haryana 124001, IndiaDepartment of Mathematics, Maharshi Dayanand University, Rohtak, Haryana 124001, IndiaDepartment of Mathematics and Computer Science, Cankaya University, Ankara, TurkeyA common fixed point theorem for generalized φ,ϕ,L f,g-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves some results from the existing literature. Some illustrative examples to highlight the realized improvements are also furnished.http://dx.doi.org/10.1155/2014/752107
collection DOAJ
language English
format Article
sources DOAJ
author Savita Rathee
Anil Kumar
Kenan Tas
spellingShingle Savita Rathee
Anil Kumar
Kenan Tas
Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps
Abstract and Applied Analysis
author_facet Savita Rathee
Anil Kumar
Kenan Tas
author_sort Savita Rathee
title Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps
title_short Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps
title_full Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps
title_fullStr Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps
title_full_unstemmed Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps
title_sort invariant approximation results via common fixed point theorems for generalized weak contraction maps
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description A common fixed point theorem for generalized φ,ϕ,L f,g-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves some results from the existing literature. Some illustrative examples to highlight the realized improvements are also furnished.
url http://dx.doi.org/10.1155/2014/752107
work_keys_str_mv AT savitarathee invariantapproximationresultsviacommonfixedpointtheoremsforgeneralizedweakcontractionmaps
AT anilkumar invariantapproximationresultsviacommonfixedpointtheoremsforgeneralizedweakcontractionmaps
AT kenantas invariantapproximationresultsviacommonfixedpointtheoremsforgeneralizedweakcontractionmaps
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