Exploring new geometric contraction mappings and their applications in fractional metric spaces
This article delves deeply into some mathematical basic theorems and their diverse applications in a variety of domains. The major issue of interest is the Banach Fixed Point Theorem (BFPT), which states the existence of a unique fixed point in fractional metric spaces. The significance of this theo...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2024-01-01
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Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024028?viewType=HTML |
Summary: | This article delves deeply into some mathematical basic theorems and their diverse applications in a variety of domains. The major issue of interest is the Banach Fixed Point Theorem (BFPT), which states the existence of a unique fixed point in fractional metric spaces. The significance of this theorem stems from its utility in a variety of mathematical situations for approximating solutions and resolving iterative problems. On this foundational basis, the study expands by introducing the concept of fractional geometric contraction mappings, which provide a new perspective on how convergence develops in fractional metric spaces. |
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ISSN: | 2473-6988 |