Exploring α-ψ-ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces.
| Title: | Exploring α-ψ-ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces. |
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| Authors: | Raji T; Mathematics, Dambi Dollo University, Dembi Dolo, Oromia, Ethiopia.; Ali N; Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari, 61100, Pakistan.; Qousini M; Faculty of Science and Information, Al-Zaytoonah University of Jordan, Amman, 11183, Jordan.; Hanchalu G; Dambi Dollo University, Dembi Dolo, Oromia, Ethiopia.; Tolasa FT; Dambi Dollo University, Dembi Dolo, Oromia, Ethiopia.; Seboka B; Mathematics, Ambo University, Ambo, Oromia, Ethiopia. |
| Source: | F1000Research [F1000Res] 2024 Dec 16; Vol. 13, pp. 566. Date of Electronic Publication: 2024 Dec 16 (Print Publication: 2024). |
| Publication Type: | Journal Article |
| Language: | English |
| Journal Info: | Publisher: F1000 Research Ltd Country of Publication: England NLM ID: 101594320 Publication Model: eCollection Cited Medium: Internet ISSN: 2046-1402 (Electronic) Linking ISSN: 20461402 NLM ISO Abbreviation: F1000Res Subsets: MEDLINE |
| Imprint Name(s): | Original Publication: London : F1000 Research Ltd |
| MeSH Terms: | Algorithms* ; Models, Theoretical*; Machine Learning |
| Abstract: | This paper explores the concept of INLINEMATH contractive mappings, contributing to the advancement of self-map extensions and fixed-point theorems within b-metric spaces. We introduce a new class of contractive mappings and demonstrate how they extend traditional contraction principles, offering a broader framework for analyzing fixed points in non-standard spaces. The main result of this study is a generalization of existing fixed-point theorems, supported by comprehensive corollaries, illustrative examples, and rigorous proofs. These findings provide deeper insights into the structure of b-metric spaces and open avenues for further applications in fields such as optimization and machine learning.; (Copyright: © 2024 Raji T et al.) |
| Competing Interests: | No competing interests were disclosed. |
| References: | Heliyon. 2024 May 11;10(10):e30989. (PMID: 38813199) |
| Contributed Indexing: | Keywords: Altering distance function; complete b-metric space; α-admissible maping |
| Entry Date(s): | Date Created: 20250127 Date Completed: 20250503 Latest Revision: 20250524 |
| Update Code: | 20260130 |
| PubMed Central ID: | PMC11759888 |
| DOI: | 10.12688/f1000research.150979.2 |
| PMID: | 39866727 |
| Database: | MEDLINE |
Journal Article