Nonlinear Elastic Matching Distances and Fixed Point Theory (Synthesis Lectures on Mathematics & Statistics)

This book offers an in-depth exploration of fixed point theory within a mathematical framework known as nonlinear elastic matching distance spaces.Specifically, the authors discuss new mathematical tools to handle complex systems where several elements interact at once and influence each other in complex ways.Traditional methods are usually able to measure relationships between two things at a time, but many real-world problems in areas such as engineering, data science, economics, and computer modeling involve multiple interactions and nonlinear changes that traditional/classical approaches cannot capture fully.By developing a broader and more flexible framework, the authors provide improved methods to study stability, recurring processes, and long-term behavior in complex systems to meet the growing demand for stronger mathematical foundations in modern research and technology.Building from fundamentals including topology, convergence, and completeness, the book reinterprets classica