Exploring Fixed Point Theory in Quasi-Partial Metric Spaces: A Unified Approach with Applications in Integral Equations and Computational Sciences
This paper explores the concept of $\mathcal{C}$-class functions, which encompass a wide range of contractive conditions and applies them to derive common fixed-point results for two pairs of self-mappings in quasi-partial metric spaces. These findings extend existing theories by introducing general...
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| Published in | European journal of pure and applied mathematics Vol. 18; no. 3; p. 5916 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.08.2025
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| Online Access | Get full text |
| ISSN | 1307-5543 1307-5543 |
| DOI | 10.29020/nybg.ejpam.v18i3.5916 |
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| Abstract | This paper explores the concept of $\mathcal{C}$-class functions, which encompass a wide range of contractive conditions and applies them to derive common fixed-point results for two pairs of self-mappings in quasi-partial metric spaces. These findings extend existing theories by introducing generalized contractive conditions and providing a broader framework for fixed-point analysis. A detailed example is constructed to validate the results, illustrating the practical application of the established theorems. Furthermore, the paper demonstrates the relevance of these results by applying them to solve a system of integral equations diffusion reaction, highlighting their utility in addressing real-world mathematical problems. |
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| AbstractList | This paper explores the concept of $\mathcal{C}$-class functions, which encompass a wide range of contractive conditions and applies them to derive common fixed-point results for two pairs of self-mappings in quasi-partial metric spaces. These findings extend existing theories by introducing generalized contractive conditions and providing a broader framework for fixed-point analysis. A detailed example is constructed to validate the results, illustrating the practical application of the established theorems. Furthermore, the paper demonstrates the relevance of these results by applying them to solve a system of integral equations diffusion reaction, highlighting their utility in addressing real-world mathematical problems. |
| Author | Qawaqneh, Haitham Ali |
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| Title | Exploring Fixed Point Theory in Quasi-Partial Metric Spaces: A Unified Approach with Applications in Integral Equations and Computational Sciences |
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