Chapter 1 A Careful Retrospection of Metric Spaces and Contraction Mappings with Computer Simulation -- Chapter 2 Fixed-Point Theory for Multi-valued Feng–Liu Operators in Vector-Valued Metric Spaces -- Chapter 3 Iterative Algorithms for the Split Equality Problem -- Chapter 4 Some Fixed-Point Theorems of Generalized Contractions with Application to Boundary-Value Problem -- Chapter 5 Fixed Points of Coset and Orbit Space Actions: An Application of Semihypergroup Theory.

This contributed book has a comprehensive collection of 18 carefully curated chapters that delve into the latest advancements in fixed-point theory and its diverse applications. It bridges the gap between theory and practicality, providing readers with a deep understanding of fundamental theorems related to the existence and uniqueness of maps. The book covers a wide array of applications, each showcasing the relevance of fixed-point theory in various domains. Readers will explore applications dealing with topological properties, the resolution of integral equations across multiple classes, nonlinear differential equations, fractional differential equations, dynamic programming problems, and engineering science-related challenges. This diverse range of topics ensures that the book caters to both theoretical researchers and practitioners seeking real-world solutions. The primary feature of the book is the pictorial depictions of examples, making complex concepts moreaccessible and understandable. These visual representations enhance the learning experience, enabling readers to grasp the enunciated outcomes effortlessly. The book stands as an essential reference for scholars, researchers, and professionals interested in the theoretical foundations and practical implications of fixed-point theory. Its blend of theoretical insights and real-world applications makes it an indispensable addition to the field of mathematics and its interdisciplinary applications.