Fixed point results for β − F −weak contraction mappings in complete S-metric spaces

Bulbul Khomdram, Yumnam Rohen, Mohammad Saeed Khan, Nicola Fabiano*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Introduction/purpose: This paper introduces the concept of β − F-weak contraction by using the concepts of F −weak contraction and α − ψ− contraction. Methods: The use of the β − F-weak contraction proves some fixed points theorems in the framework of S−metric spaces. Results: The obtained results on fixed points in S−metric spaces generalize some known results in the literature. Conclusions: The β − F −weak contraction generalizes some important contraction types and examines the existence of a fixed point in S−metric spaces. The results are used to solve a non-linear Fredholm integral equation.

Original languageEnglish
Pages (from-to)13-34
Number of pages22
JournalMilitary Technical Courier
Volume72
Issue number1
DOIs
Publication statusPublished - 2024
Externally publishedYes

Keywords

  • fixed point
  • non-linear integral equation
  • S-metric space
  • β − F −weak contraction

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