Exploring α−ψ−ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces [version 2; peer review: 2 approved, 1 approved with reservations]
This paper explores the concept of α-ψ-ϕ 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 broa...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
F1000 Research Ltd
2024-12-01
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| Series: | F1000Research |
| Subjects: | |
| Online Access: | https://f1000research.com/articles/13-566/v2 |
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| Summary: | This paper explores the concept of α-ψ-ϕ 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. |
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| ISSN: | 2046-1402 |