Unique Coincidence and Fixed Point Theorem for g-Weakly C-Contractive Mappings in Partial Metric Spaces

We prove that every map satisfying the g-weakly C-contractive inequality in partial metric space has a unique coincidence point. Our results generalize several well-known existing results in the literature.

Bibliographic Details
Main Author: Saud M. Alsulami
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/975728
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spelling doaj-1986a9c2ea8a4460afa328dd301cc06b2020-11-24T21:37:12ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/975728975728Unique Coincidence and Fixed Point Theorem for g-Weakly C-Contractive Mappings in Partial Metric SpacesSaud M. Alsulami0Department of Mathematics, King Abdulaziz University, P.O. Box 138381, Jeddah 21323, Saudi ArabiaWe prove that every map satisfying the g-weakly C-contractive inequality in partial metric space has a unique coincidence point. Our results generalize several well-known existing results in the literature.http://dx.doi.org/10.1155/2014/975728
collection DOAJ
language English
format Article
sources DOAJ
author Saud M. Alsulami
spellingShingle Saud M. Alsulami
Unique Coincidence and Fixed Point Theorem for g-Weakly C-Contractive Mappings in Partial Metric Spaces
Abstract and Applied Analysis
author_facet Saud M. Alsulami
author_sort Saud M. Alsulami
title Unique Coincidence and Fixed Point Theorem for g-Weakly C-Contractive Mappings in Partial Metric Spaces
title_short Unique Coincidence and Fixed Point Theorem for g-Weakly C-Contractive Mappings in Partial Metric Spaces
title_full Unique Coincidence and Fixed Point Theorem for g-Weakly C-Contractive Mappings in Partial Metric Spaces
title_fullStr Unique Coincidence and Fixed Point Theorem for g-Weakly C-Contractive Mappings in Partial Metric Spaces
title_full_unstemmed Unique Coincidence and Fixed Point Theorem for g-Weakly C-Contractive Mappings in Partial Metric Spaces
title_sort unique coincidence and fixed point theorem for g-weakly c-contractive mappings in partial metric spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We prove that every map satisfying the g-weakly C-contractive inequality in partial metric space has a unique coincidence point. Our results generalize several well-known existing results in the literature.
url http://dx.doi.org/10.1155/2014/975728
work_keys_str_mv AT saudmalsulami uniquecoincidenceandfixedpointtheoremforgweaklyccontractivemappingsinpartialmetricspaces
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