Fixed Point Theorems for Fuzzy $(gamma,beta)$-Contractions in non-Archimedean Fuzzy Metric Spaces

Abstract

In this paper,  we introduce new concepts of fuzzy $(gamma,beta )$-contraction and prove some fixed point results for fuzzy $(gamma,beta )$-contractions in complete non-Archimedean fuzzy metric spaces. Later, we define a fuzzy $(gamma,beta )$-weak contraction and establish some new fixed point results for fuzzy $(gamma,beta )$-weak contractions. Also, some examples are supplied in order to support the useability of ourresults.