Fixed Points in Generalized Metric Spaces in Generalized Metrics Spaces

Abstract

This makes mathematical analysis in these complex spaces clearer and more reliable. Our research includes an overview of the basic ideas behind generalized metric spaces, which helps us understand the features and structures that are at play. We investigate the uniqueness theorem's importance and what it means in real-world situations by carefully looking at related theorems and proofs. The wide range of applications of this theorem is shown by examples from different areas of mathematics. The uniqueness theorem of fixed points in generalized metric spaces not only makes fixed point theory better, but it also opens the door to new areas of study and uses in many different areas of science. We end by encouraging more research into how generalized measure spaces can help solve difficult problems and broaden the scope of mathematical analysis.