Fixed point theorems in Menger spaces

The book "Fixed Point Theorems in Menger Spaces" offers a comprehensive investigation into the existence of fixed points for various types of mappings in probabilistic metric spaces. It addresses specific types of compatible mappings, including types (P), (P1), (P2), and (A), as well as 2-compatible mappings. The analysis spans six chapters, each dealing with different aspects of fixed point theory in Menger spaces. Each chapter is nearly self-contained, allowing readers to understand the concepts and theorems independently. Topics range from the application of contractive control functions to common fixed point theorems that examine compatibility in Menger spaces. This specialized book is aimed at students and professionals engaged with advanced mathematical concepts and their applications in fixed point theory.