C-class functions on fixed and common fixed point results for cyclic mappings of Omega-distance

In this paper, we derive and formulate many fixed point results of cyclic form under contractive conditions based on implicit relations in the setting of Ω-distance. Our results improve and generalize many existing results in the literature. Also, we introduce an example to show the validity of our...

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Main Authors: Arslan Hojat Ansari, Wasfi Shatanawi
Format: Article
Language:English
Published: Vilnius University Press 2017-10-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13358
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author Arslan Hojat Ansari
Wasfi Shatanawi
author_facet Arslan Hojat Ansari
Wasfi Shatanawi
author_sort Arslan Hojat Ansari
collection DOAJ
description In this paper, we derive and formulate many fixed point results of cyclic form under contractive conditions based on implicit relations in the setting of Ω-distance. Our results improve and generalize many existing results in the literature. Also, we introduce an example to show the validity of our main result.
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spelling doaj.art-e49217ffca474359a55492de7e6425e62022-12-22T02:51:01ZengVilnius University PressNonlinear Analysis1392-51132335-89632017-10-0122610.15388/NA.2017.6.1C-class functions on fixed and common fixed point results for cyclic mappings of Omega-distanceArslan Hojat Ansari0Wasfi Shatanawi1Islamic Azad University, IranHashemite University, Jordan; Prince Sultan University, Saudi ArabiaIn this paper, we derive and formulate many fixed point results of cyclic form under contractive conditions based on implicit relations in the setting of Ω-distance. Our results improve and generalize many existing results in the literature. Also, we introduce an example to show the validity of our main result.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13358nonlinear contractionsG-metric spacecommon fixed pointΩ-distanceC-class function
spellingShingle Arslan Hojat Ansari
Wasfi Shatanawi
C-class functions on fixed and common fixed point results for cyclic mappings of Omega-distance
Nonlinear Analysis
nonlinear contractions
G-metric space
common fixed point
Ω-distance
C-class function
title C-class functions on fixed and common fixed point results for cyclic mappings of Omega-distance
title_full C-class functions on fixed and common fixed point results for cyclic mappings of Omega-distance
title_fullStr C-class functions on fixed and common fixed point results for cyclic mappings of Omega-distance
title_full_unstemmed C-class functions on fixed and common fixed point results for cyclic mappings of Omega-distance
title_short C-class functions on fixed and common fixed point results for cyclic mappings of Omega-distance
title_sort c class functions on fixed and common fixed point results for cyclic mappings of omega distance
topic nonlinear contractions
G-metric space
common fixed point
Ω-distance
C-class function
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13358
work_keys_str_mv AT arslanhojatansari cclassfunctionsonfixedandcommonfixedpointresultsforcyclicmappingsofomegadistance
AT wasfishatanawi cclassfunctionsonfixedandcommonfixedpointresultsforcyclicmappingsofomegadistance