Fixed Point Theorem for Cyclic Chatterjea Type Contractions

We introduce the notion of cyclic weakly Chatterjea type contraction and generalized cyclic weakly Chatterjea type contraction in metric spaces. We discussed the existence of fixed point theorems of (generalized) cyclic weakly Chatterjea type contraction mappings in the context of complete metric sp...

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Main Authors: Erdal Karapınar, Hemant Kumar Nashine
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/165698
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author Erdal Karapınar
Hemant Kumar Nashine
author_facet Erdal Karapınar
Hemant Kumar Nashine
author_sort Erdal Karapınar
collection DOAJ
description We introduce the notion of cyclic weakly Chatterjea type contraction and generalized cyclic weakly Chatterjea type contraction in metric spaces. We discussed the existence of fixed point theorems of (generalized) cyclic weakly Chatterjea type contraction mappings in the context of complete metric spaces. Our main theorems extend and improve some fixed point theorems in the literature.
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id doaj-art-6964c7f7a8bb4f38900dffd3132d158b
institution OA Journals
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-6964c7f7a8bb4f38900dffd3132d158b2025-08-20T02:23:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/165698165698Fixed Point Theorem for Cyclic Chatterjea Type ContractionsErdal Karapınar0Hemant Kumar Nashine1Department of Mathematics, Atılım University, Incek, 06836 Ankara, TurkeyDepartment of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur 492101, IndiaWe introduce the notion of cyclic weakly Chatterjea type contraction and generalized cyclic weakly Chatterjea type contraction in metric spaces. We discussed the existence of fixed point theorems of (generalized) cyclic weakly Chatterjea type contraction mappings in the context of complete metric spaces. Our main theorems extend and improve some fixed point theorems in the literature.http://dx.doi.org/10.1155/2012/165698
spellingShingle Erdal Karapınar
Hemant Kumar Nashine
Fixed Point Theorem for Cyclic Chatterjea Type Contractions
Journal of Applied Mathematics
title Fixed Point Theorem for Cyclic Chatterjea Type Contractions
title_full Fixed Point Theorem for Cyclic Chatterjea Type Contractions
title_fullStr Fixed Point Theorem for Cyclic Chatterjea Type Contractions
title_full_unstemmed Fixed Point Theorem for Cyclic Chatterjea Type Contractions
title_short Fixed Point Theorem for Cyclic Chatterjea Type Contractions
title_sort fixed point theorem for cyclic chatterjea type contractions
url http://dx.doi.org/10.1155/2012/165698
work_keys_str_mv AT erdalkarapınar fixedpointtheoremforcyclicchatterjeatypecontractions
AT hemantkumarnashine fixedpointtheoremforcyclicchatterjeatypecontractions