Existence of Common Coupled Fixed Points of Generalized Contractive Mappings in Ordered Multiplicative Metric Spaces

Authors

Zhong Zhao Department of Mathematics, Huanghuai University Zhumadian, 463000 Henan, PR China
Talat Nazir Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa Corresponding Author

DOI:

https://doi.org/10.61383/ejam.20231341

Keywords:

Coupled coincidence point, common coupled fixed point, w∗− compatible map, partially ordered set, multiplicative metric space

Abstract

In order to generalize coupled fixed point results in the setup of partially ordered multiplicative metric spaces, we employing the concept of w^∗- compatible mappings and generalized contractive condition and prove some coupled coincidence point and common coupled fixed points results. We also provide illustrative examples in support of our new results. Moreover, some applications to integral equations are presented. Our established results generalize, extend and unify various results in the existing literature.

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Published

2023 Oct 29

Issue

Vol. 1 No. 3 (2023)

Section

Research Article

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“Existence of Common Coupled Fixed Points of Generalized Contractive Mappings in Ordered Multiplicative Metric Spaces ”, Electron. J. Appl. Math., vol. 1, no. 3, pp. 1–15, Oct. 2023, doi: 10.61383/ejam.20231341.

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