An Extension of Mixed Monotone Mapping to Tripled Fixed Point Theorem in Fuzzy Metric Spaces

In this paper, we prove the concept of fuzzy metric spaces of tripled fixed point via mixed monotone mappings and prove the existence and uniqueness theorem for contractive type mapping. In order to do that, we consider a modification to results on tripled fixed point theorem in fuzzy metric spaces available in literature. Additionally, we prove some tripled fixed point theorems for metric spaces via mixed monotone mappings. These results extend and generalize some recent results in literature.

Keywords:

Fuzzy metric space , tripled fixed point , Mixed monotone mapping , Existence and uniqueness