Fixed Point Theory

Authors: Ben Amar, Afif, O'Regan, Donal
Explores topological fixed point theory for categories of single and multivalued maps
Written for graduate students as well as theoretical and appliedmathematicians interested in fixed point theory, integral equations, ordinary and partial differential equations, and game theory
Develops a method to indicate how to use approximate fixed point theorems to prove the existence of approximate Nash equilibria for non-cooperative games

This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results.