Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces

Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces

We introduce the concepts of a -weak contraction mapping of types and and we establish some fixed point theorems for a -weak contraction mapping of types and in complete -metric spaces. Our results generalize several well-known comparable results in the literature.

Bibliographic Details
Main Authors: Wasfi Shatanawi, Mihai Postolache
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/815870
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spelling doaj-1565f624cad1457ea03f4e07044514b02020-11-24T23:17:08ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/815870815870Some Fixed-Point Results for a -Weak Contraction in -Metric SpacesWasfi Shatanawi0Mihai Postolache1Department of Mathematics, Hashemite University, Zarqa, JordanFaculty of Applied Sciences, University Politehnica of Bucharest, 313 Splaiul Independenţei, 060042 Bucuresti, RomaniaWe introduce the concepts of a -weak contraction mapping of types and and we establish some fixed point theorems for a -weak contraction mapping of types and in complete -metric spaces. Our results generalize several well-known comparable results in the literature.http://dx.doi.org/10.1155/2012/815870
collection DOAJ
language English
format Article
sources DOAJ
author Wasfi Shatanawi
Mihai Postolache
spellingShingle Wasfi Shatanawi
Mihai Postolache
Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces
Abstract and Applied Analysis
author_facet Wasfi Shatanawi
Mihai Postolache
author_sort Wasfi Shatanawi
title Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces
title_short Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces
title_full Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces
title_fullStr Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces
title_full_unstemmed Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces
title_sort some fixed-point results for a -weak contraction in -metric spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We introduce the concepts of a -weak contraction mapping of types and and we establish some fixed point theorems for a -weak contraction mapping of types and in complete -metric spaces. Our results generalize several well-known comparable results in the literature.
url http://dx.doi.org/10.1155/2012/815870
work_keys_str_mv AT wasfishatanawi somefixedpointresultsforaweakcontractioninmetricspaces
AT mihaipostolache somefixedpointresultsforaweakcontractioninmetricspaces
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