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

## 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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*Electron. J. Appl. Math.*, vol. 1, no. 3, pp. 1–15, Oct. 2023.

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Copyright (c) 2023 Electronic Journal of Applied Mathematics

This work is licensed under a Creative Commons Attribution 4.0 International License.

Accepted 2023 Oct 20

Published 2023 Oct 29