Common Neutrosophic Metric Space Fixed Point Theorems with Properties

Abstract

The paper introduces the notion of Neutrosophic metric spaces and derives some features from it. Under certain appropriate circumstances, two new common fixed point theorems are proved in Neutrosophic metric spaces. This paper introduces the concept of Neutrosophic metric spaces, an extension of classical metric spaces that incorporates the idea of neutrosophy to handle uncertainty and indeterminacy in mathematical analysis. Neutrosophic metric spaces generalize traditional metrics by allowing for a more nuanced representation of distance and proximity, accommodating the presence of indeterminate, uncertain, or contradictory information.