New coupled and common coupled fixed point results with generalized  c -distance on cone  b -metric spaces

Abusalim, Sahar Mohammad; Fadail, Zaid Mohammed

doi:10.22436/jmcs.025.03.01

J. Math. Computer Sci.

2021

DOI: 10.22436/jmcs.025.03.01

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New coupled and common coupled fixed point results with generalized c -distance on cone b -metric spaces

Sahar Mohammad Abusalim¹,

Zaid Mohammed Fadail²

Abstract: In this paper, we prove the existence and uniqueness of common coupled fixed point and coupled fixed point in cone bmetric spaces with generalized c-distance. Our results extend and generalize several well-known comparable results in literature. We provide one example to support our obtained results.

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Cited by 4 publications

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We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove that some generalized weakly compatible contractive operators in modular G-metric spaces have a unique fixed point. Our results extend, generalize, complement and include several known results as special cases.

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Solving a System of Integral Equations in Rectangular Menger Probabilistic Metric Spaces and Rectangular Menger Probabilistic b-Metric Spaces

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This work introduces the concepts of rectangular Menger probabilistic metric (RMPM) space and rectangular Menger probabilistic b-metric (RMPbM) space as generalizations of the Menger probabilistic metric space and the Menger probabilistic b-metric space, respectively. Some nonunique fixed-point and coupled-fixed-point results for contractive mappings are provided. The findings extend and improve outcomes presented in the existing literature. The main results are illustrated with examples, and validated by means of an application to a system of integral equations. The importance of spaces with non-Hausdorff topology is high, as is the case of computer science, with the Tarskian approach to programming language semantics.

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Wu¹

2021

MATH

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<abstract><p>In this paper, we introduce the concept of partial fuzzy k-(pseudo-)metric spaces, which is a generalization of fuzzy metric type spaces which introduced by Saadati. Also, we study some properties in partial fuzzy k-metric spaces and give some examples to support our results. Furthermore, we investigate the topological structures of partial fuzzy k-pseudo-metric spaces. Finally, we prove the existence of fixed points in these spaces.</p></abstract>

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New coupled and common coupled fixed point results with generalized c -distance on cone b -metric spaces

Cited by 4 publications

References 17 publications

Fixed point theorems in modular G-metric spaces

Fixed point theorems in modular G-metric spaces

Solving a System of Integral Equations in Rectangular Menger Probabilistic Metric Spaces and Rectangular Menger Probabilistic b-Metric Spaces

On partial fuzzy k-(pseudo-)metric spaces

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