Study and Analysis of the Results in Fixed Point Fuzzy Metric Spaces

Abstract

The main objective of this study is to use rational inequalities to demonstrate several purpose theorems mounted on fuzzy metric domains. The findings of numerous writers in the body of literature already exist, and our results expand and generalize them. We also provide several applications to back up our findings. In this study, the topic of fixed points in fuzzy metric space is the main focus. It inspires us to create various mappings in a symmetric fuzzy metric space because a tuple can be represented in a fuzzy metric space. One of the most significant fields of basic research for mathematicians is metric spaces. Different experimenters developed the idea of metric space by adding additional variables in metric space or by creating various compressions in various disciplines. It motivates us to develop various mappings in a symmetric-fuzzy metric space because of how a tuple is represented in a fuzzy metric space. For mathematicians, metric spaces are one of the key fundamental topics of study. In order to introduce new contractions in various domains or to increase the number of variables in the metric space, several academics first established the idea of metric space. To make fixed points in metric spaces easier, many mapping types have been proposed. The fixed-point theorem, which is original and based on fuzzy metric space, is the subject of this study as we show several significant conclusions on it. In this study, metric spaces are discussed. Due to their similar function to the real line R in calculus, these are essential to functional analysis. In actuality, they generalize R and were developed to serve as a foundation for an integrated approach to significant issues from diverse areas of research.