The authors have written a rigorous yet elementary and self-contained book to present in a
unified framework generalized convex functions which are the many non-convex functions that
share at least one of the valuable properties of convex functions and which are often more
suitable for describing real-world problems. The book will be a useful tool not only for
researchers but also for graduates and advanced students working in economics mathematical
programming the management sciences and operations research. It begins with a review of convex
analysis and the fundamental theoretical findings on generalized convexity and on optimization
including their applications. The text continues with an introductory chapter devoted to
generalized monotonicity and its relationship to generalized convexity with the
characterizations of important classes of fractional programming and with theoretical
properties and sequential methods. The book also includes numerous exercises and two appendices
which list the findings consulted.
