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

Document Type : Research Paper


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



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.


Articles in Press, Corrected Proof
Available Online from 29 March 2023
  • Receive Date: 21 November 2021
  • Revise Date: 24 August 2022
  • Accept Date: 27 August 2022
  • First Publish Date: 29 March 2023