This paper presents common fixed point results for a pair of self-mappings in multiplicative $\mathfrak{m}$-metric space. Also, we present the multiplicative partial metric structure as a specific case of a multiplicative m-metric space and demonstrate some common fixed point results. To support our conclusions, we present an illustrative example with discontinuous self-mappings. We also provide numerical iterations to approximate the common fixed point and graphs to visually substantiate our findings. As the consequences of our results, we demonstrate several common fixed point results in $m$-metric space and partial metric space. Our findings generalize various fixed point results from the literature. Furthermore, we employ the results to demonstrate the existence and uniqueness of solutions to a system of multiplicative Fredholm integral equations.
Multiplicative $\mathfrak{m}$-metric space , multiplicative partial metric space common fixed point multiplicative integral equation
Primary Language | English |
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Subjects | Operator Algebras and Functional Analysis |
Journal Section | Mathematics |
Authors | |
Early Pub Date | August 27, 2024 |
Publication Date | |
Submission Date | March 22, 2024 |
Acceptance Date | June 16, 2024 |
Published in Issue | Year 2024 Early Access |