探索α-ψ- φ压缩映射：完全b-度量空间中的新不动点定理。

Q2 Pharmacology, Toxicology and Pharmaceutics F1000Research Pub Date : 2024-12-16 eCollection Date: 2024-01-01 DOI:10.12688/f1000research.150979.2

Tamene Raji, Nasir Ali, Maysoon Qousini, Gudeta Hanchalu, Fikadu Tesgera Tolasa, Berhanu Seboka

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摘要

本文探讨了α - ψ - φ压缩映射的概念，促进了b-度量空间内自映射扩展和不动点定理的进展。我们引入了一类新的压缩映射，并演示了它们如何扩展传统的压缩原理，为分析非标准空间中的不动点提供了一个更广泛的框架。本研究的主要结果是对现有不动点定理的推广，由全面的推论、说明性的例子和严格的证明支持。这些发现为b-度量空间的结构提供了更深入的见解，并为优化和机器学习等领域的进一步应用开辟了道路。

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Exploring α-ψ-ϕ contractive mapping: novel fixed point theorems in complete b-metric spaces.

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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来源期刊

F1000Research Pharmacology, Toxicology and Pharmaceutics-Pharmacology, Toxicology and Pharmaceutics (all)

CiteScore

5.00

自引率

0.00%

发文量

1646

审稿时长

1 weeks

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