Generalized Convexity and Optimization Theory and Applications /

• Main Authors: Cambini, Alberto. (Author), Martein, Laura. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Economics and Mathematical Systems, 616
• Subjects: Mathematics.; Mathematical optimization.; Operations research.; Microeconomics.; Optimization.; Operations Research/Decision Theory.; Operations Research, Mathematical Programming.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-70876-6

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.