Fixed-Point Theorems in Fuzzy Metric Spaces via Fuzzy F-Contraction

The purpose of this paper is to introduce a new type contraction called fuzzy F-contraction. As compared the F-contraction in existing literature, our much simpler and more straightforward, since it contains only one condition—that is, function F strictly increasing. Moreover, some fixed-point theorems for are presented. Further, examples given illustrate its validity superiority. In addition, by applying very significant lemma, we show that proofs most shorter elegant than ones literature.