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
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Nonconvex Optimization and Its Applications, 90
• Subjects: Mathematics.; Mathematical optimization.; Calculus of Variations and Optimal Control; Optimization.; Operations Research/Decision Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-85671-9

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:

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