Some Common Fixed Point Theorems in Partially Ordered Sets

The purpose of this paper is to prove some new fixed point theorem and common fixed point theorems of a commuting family of order-preserving mappings defined on an ordered set, which unify and generalize some relevant fixed point theorems.

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Main Authors: Khadija Bouzkoura, Said Benkaddour
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2020/4707962
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author Khadija Bouzkoura
Said Benkaddour
author_facet Khadija Bouzkoura
Said Benkaddour
author_sort Khadija Bouzkoura
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description The purpose of this paper is to prove some new fixed point theorem and common fixed point theorems of a commuting family of order-preserving mappings defined on an ordered set, which unify and generalize some relevant fixed point theorems.
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publishDate 2020-01-01
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spelling doaj-art-145ebb572b114fa3b6ea36d09dc188942025-08-20T02:04:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422020-01-01202010.1155/2020/47079624707962Some Common Fixed Point Theorems in Partially Ordered SetsKhadija Bouzkoura0Said Benkaddour1Faculty of Sciences BEN M'SIK, Laboratory of Algebra and Analysis and Applications L3A, Hassan II University in Casablanca, B.P. 7955 Ben M’Sik, Casablanca, MoroccoFaculty of Sciences BEN M'SIK, Laboratory of Algebra and Analysis and Applications L3A, Hassan II University in Casablanca, B.P. 7955 Ben M’Sik, Casablanca, MoroccoThe purpose of this paper is to prove some new fixed point theorem and common fixed point theorems of a commuting family of order-preserving mappings defined on an ordered set, which unify and generalize some relevant fixed point theorems.http://dx.doi.org/10.1155/2020/4707962
spellingShingle Khadija Bouzkoura
Said Benkaddour
Some Common Fixed Point Theorems in Partially Ordered Sets
Journal of Applied Mathematics
title Some Common Fixed Point Theorems in Partially Ordered Sets
title_full Some Common Fixed Point Theorems in Partially Ordered Sets
title_fullStr Some Common Fixed Point Theorems in Partially Ordered Sets
title_full_unstemmed Some Common Fixed Point Theorems in Partially Ordered Sets
title_short Some Common Fixed Point Theorems in Partially Ordered Sets
title_sort some common fixed point theorems in partially ordered sets
url http://dx.doi.org/10.1155/2020/4707962
work_keys_str_mv AT khadijabouzkoura somecommonfixedpointtheoremsinpartiallyorderedsets
AT saidbenkaddour somecommonfixedpointtheoremsinpartiallyorderedsets