Berinde-type generalized $\alpha-\beta-\psi$ contraction in extended $S_{b}$-metric spaces
| Title: | Berinde-type generalized $\alpha-\beta-\psi$ contraction in extended $S_{b}$-metric spaces |
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| Authors: | S. Fahed, M. Asif |
| Source: | Researches in Mathematics, Vol 32, Iss 3, Pp 26-40 (2024) |
| Publisher Information: | Oles Honchar Dnipro National University, 2024. |
| Publication Year: | 2024 |
| Collection: | LCC:Mathematics |
| Subject Terms: | analysis, extended $s_{b}$-metric spaces, fixed point theorem, berinde-type generalized $\alpha-\beta-\psi$ contraction, Mathematics, QA1-939 |
| More Details: | In this paper, we extend the idea of Berinde-Type generalized $\alpha-\beta-\psi$ contractive mappings in the setting of complete extended $S_{b}$-metric spaces providing a significant advancement in fixed-point theory. The findings extend fixed point theory beyond metric spaces to $S_{b}$-metric spaces, offering a broader range of applications in optimization, nonlinear analysis and mathematical modelling. Non-trivial examples of the findings are provided to validate our claims. These examples demonstrate the potential of the proposed mappings for solving real-world phenomena. The work also suggests intriguing future research directions, such as generalizing fixed-point theorems and applying them to disciplines like dynamical systems and integral equations. |
| Document Type: | article |
| File Description: | electronic resource |
| Language: | English Ukrainian |
| ISSN: | 2664-4991 2664-5009 |
| Relation: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/445/445; https://doaj.org/toc/2664-4991; https://doaj.org/toc/2664-5009 |
| DOI: | 10.15421/242431 |
| Access URL: | https://doaj.org/article/941ca5e742434d56a9ba91fe58e689dd |
| Accession Number: | edsdoj.941ca5e742434d56a9ba91fe58e689dd |
| Database: | Directory of Open Access Journals |
| ISSN: | 26644991 26645009 |
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| DOI: | 10.15421/242431 |
| Published in: | Researches in Mathematics |
| Language: | English Ukrainian |