Fixed point results in complete neutrosophic fuzzy metric spaces for NF-L contractions

Abstract

Fixed point theory occupies a significant position in both applied and pure mathematics due to its
 wide-ranging applications. The Banach contraction principle serves as a foundational theorem in metric spaces,
 which has been subject to numerous generalizations and applications. In this study, we explore the concept
 of neutrosophic fuzzy metric spaces and introduce the notion of NF-L contractions through a novel class of
 functions. We demonstrate that these contractions possess a unique fixed point. Initially, we present a crucial
 lemma that will be utilized in subsequent sections, followed by the proof of our primary result. Ultimately, we
 derive several fixed point results based on these types of contractions, which are derived from the main theorem.

DOI: 10.5281/zenodo.14962742