Fixed point results via altering distance functions in relational fuzzy metric spaces with application

Abstract

Some fixed point theorems are developed in fuzzy metric spaces using an altering distance function under binary relationship. We ensure the existence and uniqueness of the solution to ordinary differential equation using our results. We also give a non-trivial example to illustrate our primary result. Our results strengthen and extend the Theorem 3.1 of Shen et al. (Applied Mathematics Letters, 25 (2012), 138-141).