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

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 our results.

کلیدواژه ها:

$(\gamma ، \beta)$ -contraction ، Fixed point ، Non-Archimedean fuzzy metric space