Document Type : Research Paper

Author

• Razieh Farokhzad Rostami

Department of Mathematics, Faculty of Basic Science, Gonbad Kavous University, Gonbad Kavous, Iran

Abstract

In this article, we extend some recently fixed point theorems in the setting of G−fuzzy metric spaces. We introduce some new concepts of contractions called γ-contractions and γ-weak contractions. We prove some fixed point theorems for mappings providing γ-contractions and γ-weak contractions. On the other hand, we consider a more general class of auxiliary functions in the contractivity condition.

Keywords

• Fixed point
• Contractive mapping
• Weak Contractive mapping
• Fuzzy metric space