Common Fixed-Point Theorems for Families of Compatible Mappings in Neutrosophic Metric Spaces

Abstract

Sets, probability, and neutrosophic logic are all topics covered by neutrosophy. Moreover, the classical set, fuzzy set, and intuitionistic fuzzy set are generalized using the neutrosophic set. A neutrosophic set is a mathematical concept used to solve problems with inconsistent, ambiguous, and inaccurate data. In this article, we demonstrate some basic fixed-point theorems for any even number of compatible mappings in complete neutrosophic metric spaces. Our primary findings expand and generalize the findings previously established in the literature.

Keywords

• neutrosophic metric spaces
• common fixed-point theorems
• compatible mappings
• existence and uniqueness