Common Fixed Point of Four Mappings Satisfying Implicit Generalized Weak Contractive Type Condition

Common Fixed Point of Four Mappings Satisfying Implicit Generalized Weak Contractive Type Condition

In this paper, common fixed point for four maps using an implicit contractive condition in a complete metric space is proved. Some periodic point results for such mappings are also obtained. These results extend and generalize several comparable results in the current literature.

Bibliographic Details
Main Authors: Sedghi Shaban, Shobe Nabi, Abbas Mujahid
Format: Article
Language:English
Published: De Gruyter 2014-06-01
Series:Demonstratio Mathematica
Subjects:
fixed point
weakly compatible mappings
implicit contractive condition
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-2/dema-2014-0031/dema-2014-0031.xml?format=INT
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spelling doaj-a0cc71f307c6439fa107b26107f053ab2020-11-24T21:33:41ZengDe GruyterDemonstratio Mathematica0420-12132391-46612014-06-0147239641010.2478/dema-2014-0031dema-2014-0031Common Fixed Point of Four Mappings Satisfying Implicit Generalized Weak Contractive Type ConditionSedghi Shaban0Shobe Nabi1Abbas Mujahid2DEPARTMENT OF MATHEMATICS QAEMSHAHR BRANCH ISLAMIC AZAD UNIVERSITY QAEMSHAHR, IRANDEPARTMENT OF MATHEMATICS ISLAMIC AZAD UNIVERSITY-BABOL BRANCH IRANDEPARTMENT OF MATHEMATICS LAHORE UNIVERSITY OF MANAGEMENT SCIENCES 54792-LAHORE, PAKISTANIn this paper, common fixed point for four maps using an implicit contractive condition in a complete metric space is proved. Some periodic point results for such mappings are also obtained. These results extend and generalize several comparable results in the current literature.http://www.degruyter.com/view/j/dema.2014.47.issue-2/dema-2014-0031/dema-2014-0031.xml?format=INTfixed pointweakly compatible mappingsimplicit contractive condition
collection DOAJ
language English
format Article
sources DOAJ
author Sedghi Shaban
Shobe Nabi
Abbas Mujahid
spellingShingle Sedghi Shaban
Shobe Nabi
Abbas Mujahid
Common Fixed Point of Four Mappings Satisfying Implicit Generalized Weak Contractive Type Condition
Demonstratio Mathematica
fixed point
weakly compatible mappings
implicit contractive condition
author_facet Sedghi Shaban
Shobe Nabi
Abbas Mujahid
author_sort Sedghi Shaban
title Common Fixed Point of Four Mappings Satisfying Implicit Generalized Weak Contractive Type Condition
title_short Common Fixed Point of Four Mappings Satisfying Implicit Generalized Weak Contractive Type Condition
title_full Common Fixed Point of Four Mappings Satisfying Implicit Generalized Weak Contractive Type Condition
title_fullStr Common Fixed Point of Four Mappings Satisfying Implicit Generalized Weak Contractive Type Condition
title_full_unstemmed Common Fixed Point of Four Mappings Satisfying Implicit Generalized Weak Contractive Type Condition
title_sort common fixed point of four mappings satisfying implicit generalized weak contractive type condition
publisher De Gruyter
series Demonstratio Mathematica
issn 0420-1213
2391-4661
publishDate 2014-06-01
description In this paper, common fixed point for four maps using an implicit contractive condition in a complete metric space is proved. Some periodic point results for such mappings are also obtained. These results extend and generalize several comparable results in the current literature.
topic fixed point
weakly compatible mappings
implicit contractive condition
url http://www.degruyter.com/view/j/dema.2014.47.issue-2/dema-2014-0031/dema-2014-0031.xml?format=INT
work_keys_str_mv AT sedghishaban commonfixedpointoffourmappingssatisfyingimplicitgeneralizedweakcontractivetypecondition
AT shobenabi commonfixedpointoffourmappingssatisfyingimplicitgeneralizedweakcontractivetypecondition
AT abbasmujahid commonfixedpointoffourmappingssatisfyingimplicitgeneralizedweakcontractivetypecondition
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