Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse background

A function is convex if its epigraph is convex. This geometrical structure has very strong implications in terms of continuity and differentiability. Separation

In recent years there is a growing interest in generalized convex fu- tions and generalized monotone mappings among the researchers of - plied mathematics and o

Various generalizations of convex functions have been introduced in areas such as mathematical programming, economics, management science, engineering, stochast

The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions. The book also inclu