Generalized Convexity and Optimization Theory and Applications /

• Main Authors: Cambini, Alberto (Author), Martein, Laura (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Economics and Mathematical Systems, 616
• Subjects: Mathematics.; Operations research.; Decision making.; Mathematical optimization.; Management science.; Microeconomics.; Optimization.; Operation Research/Decision Theory.; Operations Research, Management Science.

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...

Table of Contents:

• Convex Functions
• Non-Differentiable Generalized Convex Functions
• Differentiable Generalized Convex Functions
• Optimality and Generalized Convexity
• Generalized Convexity and Generalized Monotonicity
• Generalized Convexity of Quadratic Functions
• Generalized Convexity of Some Classes of Fractional Functions
• Sequential Methods for Generalized Convex Fractional Programs
• Solutions.