Exploring new geometric contraction mappings and their applications in fractional metric spaces-Reference-Cited by-同舟云学术

Exploring new geometric contraction mappings and their applications in fractional metric spaces

Published:2024 Issue:1 Volume:9 Page:521-541
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Qawaqneh Haitham¹,Hammad Hasanen A.²³,Aydi Hassen⁴⁵⁶

Affiliation:

1. Department of Mathematics, Faculty of Science and Information Technology, Al-Zaytoonah University of Jordan, Amman 11733, Jordan

2. Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia

3. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

4. Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia

5. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

6. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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