### COUPLED AND COMMON COUPLED FIXED POINT THEOREMS UNDER NEW COUPLED IMPLICIT RELATION IN PARTIAL METRIC SPACES

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#### Abstract

The purpose of this paper is to study existence and uniqueness of coupled

and common coupled fixed point theorems for self-mappings satisfying a new coupled

implicit relation in the setting of partial metric spaces and give some corollaries of

Theorem 3.1. Furthermore, we prove well-posedness of a coupled fixed point problem.

We also provide some applications of our result to a mapping with a contraction of

integral type. The results of findings in this paper extend and generalize several results

from the existing literature.

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DOI: https://doi.org/10.22190/FUMI230924035S

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