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

Haitham Qawaqneh, Hasanen A. Hammad, Hassen Aydi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)521-541
Number of pages21
JournalAIMS Mathematics
Volume9
Issue number1
DOIs
Publication statusPublished - 2024
Externally publishedYes

Keywords

  • convergence
  • fractional derivatives
  • fractional metric space
  • geometric contraction mappings

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