On Fixed Point Results in Neutrosophic Metric Spaces Using Auxiliary Functions

Abstract

 In this paper, we establish novel xed point theorems in the framework of neutrosophic metric spaces
 (NMS) by introducing the concept of neutrosophic (L )-contractions. These contractions generalize classical
 contractive conditions by incorporating a function L that bounds the interaction between displacement terms
 and a control function that modulates the contraction intensity. Under speci c hypothesis, we prove that
 every neutrosophic (L )-contraction on a complete NMS admits a unique xed point. As applications, we
 derive several corollaries by specifying the forms of L and , including cases where L is linear, additive, or
 de ned via maximum functions. Our results unify and extend existing xed point theorems in neutrosophic
 settings, while illustrative examples demonstrate their practical applicability

DOI: 10.5281/zenodo.15299867