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
• Physical Description: online resource.
• ISBN: 9783540856719
• ISSN: 1571-568X

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 Nonlinear programming problems, Fractional programming problems, Nonsmooth programming problems, Nondifferentiable programming problems, Variational and Control problems under various types of generalized convexity assumptions.