[Nonconvex Optimization and Its Applications] Handbook of Generalized Convexity and Generalized Monotonicity Volume 76 || Criteria for Generalized Convexity and Generalized Monotonicity in the Differentiable Case

✍ Scribed by Hadjisavvas, Nicolas; Komlósi, Sándor; Schaible, Siegfried

• Book ID: 121705993
• Publisher: Kluwer Academic Publishers
• Year: 2005
• Tongue: English
• Weight: 599 KB
• Edition: 2005
• Category: Article
• ISBN-13: 9780387232553
• DOI: 10.1007/0-387-23393-8_2

✦ Synopsis

Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, engineering, management science, equilibrium analysis, for example are attracted to this fast growing field of study. Such enormous research activity is partially due to the discovery of a rich, elegant and deep theory which provides a basis for interesting existing and potential applications in different disciplines. The handbook offers an advanced and broad overview of the current state of the field. It contains fourteen chapters written by the leading experts on the respective subject; eight on generalized convexity and the remaining six on generalized monotonicity.