Complete Metric Spaces: A Survey

Complete metric spaces are highly important not only in mathematical theories but also in control system engineering, signal processing, machine learning, data science, etc. Completion of metric space plays a very important role in the fixed point theory. The theory of fixed points has been applied by researchers for several years in optimization problems, nonlinear analysis, dynamic system theory, control theory, signal and image processing, economics, game theory, chemical engineering, electrical engineering, etc. In this article, we present a sur- vey of such direct and indirect applications of complete metric spaces.