University of MaraghehSahand Communications in Mathematical Analysis2322-580718420211201Fixed Point Theorems for Fuzzy $(\gamma,\beta)$-Contractions in non-Archimedean Fuzzy Metric Spaces314424675010.22130/scma.2021.137259.856ENMuzeyyen SangurluSezenDepartment of Mathematics, Faculty of Science, University of Gazi, 06500, Ankara, Turkey.0000-0001-7520-6255Journal Article20200928In 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<br />results.https://scma.maragheh.ac.ir/article_246750_471c936e58f313795b77e8f9a8dd6c6c.pdf