Handbook of Generalized Convexity and Generalized Monotonicity

• Corporate Author: SpringerLink (Online service)
• Other Authors: Hadjisavvas, Nicolas (Editor), Komlósi, Sándor (Editor), Schaible, Siegfried (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Series: Nonconvex Optimization and Its Applications, 76
• Subjects: Mathematics.; Functions of real variables.; Game theory.; Operations research.; Management science.; Real Functions.; Game Theory, Economics, Social and Behav. Sciences.; Operations Research, Management Science.

Various generalizations of the classical concept of a convex function have been introduced, especially during the second half of the 20th century. Generalized convex functions are the many nonconvex functions which share at least one of the valuable properties of convex functions. Apart from their...

Table of Contents:

• to Convex and Quasiconvex Analysis
• Criteria for Generalized Convexity and Generalized Monotonicity in the Differentiable Case
• Continuity and Differentiability of Quasiconvex Functions
• Generalized Convexity and Optimality Conditions in Scalar and Vector Optimization
• Generalized Convexity in Vector Optimization
• Generalized Convex Duality and its Economic Applicatons
• Abstract Convexity
• Fractional Programming
• Generalized Monotone Maps
• Generalized Convexity and Generalized Derivatives
• Generalized Convexity, Generalized Monotonicity and Nonsmooth Analysis
• Pseudomonotone Complementarity Problems and Variational Inequalities
• Generalized Monotone Equilibrium Problems and Variational Inequalities
• Uses of Generalized Convexity and Generalized Monotonicity in Economics.