Over the past few decades, fixed point theory has developed into an important field of study in both pure and applied mathematics. This book the main techniques and results in fixed point theory. The first three chapters focus on the basic results and preliminary topics which are later used to develop the presentation. Mappings in metric and Banach spaces are then discussed in terms of the problem of existence, theory of iterative processes for computing fixed points and convergence theorems. The final chapter discusses several applicable problems arising in related fields. Each chapter includes a brief introduction and exercises at the end. This self-contained monograph will be of interest to researchers and graduate students working in this area.