Generalized Convexity and Vector Optimization

• Main Authors: Mishra, Shashi Kant (Author), Wang, Shou-Yang (Author), Lai, Kin Keung (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Nonconvex Optimization and Its Applications, 90
• Subjects: Mathematics.; Operations research.; Decision making.; Potential theory (Mathematics).; Mathematical models.; Calculus of variations.; Potential Theory.; Mathematical Modeling and Industrial Mathematics.; Calculus of Variations and Optimal Control; Optimization.; Operation Research/Decision Theory.

The present book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. Wolfe-type Duality, Mond-Weir type Duality, Mixed type Duality for Multiobjective optimization problems such as...

Table of Contents:

• Generalized Convex Functions
• Generalized Type I and Related Functions
• Optimality Conditions
• Duality Theory
• Second and Higher Order Duality
• Symmetric Duality
• Vector Variational-like Inequality Problems.