On some new fixed point results in fuzzy b-metric spaces

Abstract

Abstract This paper consists of several fixed point theorems in the fuzzy b-metric spaces. As an important result, we give a sufficient condition for a sequence to be Cauchy in the fuzzy b-metric space. Thus we simplify the proofs of many fixed point theorems in the fuzzy b-metric spaces with the well-known contraction conditions.

Keywords

• Fixed point
• Fuzzy metric space
• Fuzzy b-metric space