An Extension of Generalized (𝜓,𝜑)-Weak Contractions

We prove a fixed-point theorem for a class of maps that satisfy generalized (𝜓,𝜑)-weak contractions depending on a given function. An example is given to illustrate our extensions.

Saved in:
Bibliographic Details
Main Authors: Tran Van An, Kieu Phuong Chi, Erdal Karapınar, Tran Duc Thanh
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/431872
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832556954176716800
author Tran Van An
Kieu Phuong Chi
Erdal Karapınar
Tran Duc Thanh
author_facet Tran Van An
Kieu Phuong Chi
Erdal Karapınar
Tran Duc Thanh
author_sort Tran Van An
collection DOAJ
description We prove a fixed-point theorem for a class of maps that satisfy generalized (𝜓,𝜑)-weak contractions depending on a given function. An example is given to illustrate our extensions.
format Article
id doaj-art-4efb906c53864154850f8e7e5662a790
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-4efb906c53864154850f8e7e5662a7902025-02-03T05:44:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/431872431872An Extension of Generalized (𝜓,𝜑)-Weak ContractionsTran Van An0Kieu Phuong Chi1Erdal Karapınar2Tran Duc Thanh3Department of Mathematics, Vinh University, 182 Le Duan, Vinh City, VietnamDepartment of Mathematics, Vinh University, 182 Le Duan, Vinh City, VietnamDepartment of Mathematics, Atilim University, İncek, 06836 Ankara, TurkeyDepartment of Mathematics, Vinh University, 182 Le Duan, Vinh City, VietnamWe prove a fixed-point theorem for a class of maps that satisfy generalized (𝜓,𝜑)-weak contractions depending on a given function. An example is given to illustrate our extensions.http://dx.doi.org/10.1155/2012/431872
spellingShingle Tran Van An
Kieu Phuong Chi
Erdal Karapınar
Tran Duc Thanh
An Extension of Generalized (𝜓,𝜑)-Weak Contractions
International Journal of Mathematics and Mathematical Sciences
title An Extension of Generalized (𝜓,𝜑)-Weak Contractions
title_full An Extension of Generalized (𝜓,𝜑)-Weak Contractions
title_fullStr An Extension of Generalized (𝜓,𝜑)-Weak Contractions
title_full_unstemmed An Extension of Generalized (𝜓,𝜑)-Weak Contractions
title_short An Extension of Generalized (𝜓,𝜑)-Weak Contractions
title_sort extension of generalized 𝜓 𝜑 weak contractions
url http://dx.doi.org/10.1155/2012/431872
work_keys_str_mv AT tranvanan anextensionofgeneralizedψφweakcontractions
AT kieuphuongchi anextensionofgeneralizedψφweakcontractions
AT erdalkarapınar anextensionofgeneralizedψφweakcontractions
AT tranducthanh anextensionofgeneralizedψφweakcontractions
AT tranvanan extensionofgeneralizedψφweakcontractions
AT kieuphuongchi extensionofgeneralizedψφweakcontractions
AT erdalkarapınar extensionofgeneralizedψφweakcontractions
AT tranducthanh extensionofgeneralizedψφweakcontractions