Fixed Point Theorems for Fuzzy $(gamma,beta)$-Contractions in non-Archimedean Fuzzy Metric Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 4)Publication Date: 2021-12-05
Authors : Muzeyyen Sangurlu Sezen;
Page : 31-44
Keywords : $(gamma; beta)$-Contractions; Fixed point; non-Archimedean fuzzy metric space;
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 our
results.
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