Document Type : Research Paper

Author

Department of Mathematics, Faculty of Science, University of Gazi, 06500, Ankara, Turkey.

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.

Keywords