Modern Approaches to Fixed Point Theory and its Integrative Applications

This book contains selected chapters discussing both theoretical foundations and practical applications of fixed-point theory. It focuses on fundamental theorems on the existence and uniqueness of mappings arranged in a progressive manner. This book covers applications related to topological properties, the existence, and uniqueness of solutions for different classes of integral equations, nonlinear and fractional differential equations, dynamic programming problems, and challenges in engineering sciences. With 17 chapters contributed by global researchers on fixed-point theory, a distinguishing feature of this book is its visual representation of examples illustrating key results, making complex concepts more accessible and easier to grasp. This book is an essential resource for researchers, academicians, and graduate students in the fields of pure and applied mathematics. Additionally, due to its strong emphasis on practical problem-solving, it serves as a highly valuable reference for engineers, computational scientists, and industry professionals dealing with nonlinear modeling, dynamic programming, and mathematical engineering challenges.