International Journal of Nonlinear Analysis and Applications

Fixed point theorems in non-Archimedean G-fuzzy metric spaces with new type contractive mappings

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Basic Science, Gonbad Kavous University, Gonbad Kavous, Iran

Abstract

In this article, we extend some recently fixed point theorems in the setting of G−fuzzy metric spaces. We introduce some new concepts of contractions called γ-contractions and γ-weak contractions. We prove some fixed point theorems for mappings providing γ-contractions and γ-weak contractions. On the other hand, we consider a more general class of auxiliary functions in the contractivity condition.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 1
January 2024
Pages 49-60
  • Receive Date: 21 November 2021
  • Revise Date: 24 August 2022
  • Accept Date: 27 August 2022