𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Optimality Conditions of Differentiable Vector Optimization Problems

✍ Scribed by Li Zemin


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
124 KB
Volume
201
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


This paper deals with the differentiable vector optimization problems in the locally convex topological vector spaces. We first establish a theorem of the alternative of the Gordan type. Finally, the optimality conditions of the Kuhn᎐ Tucker type are obtained.


πŸ“œ SIMILAR VOLUMES


Existence of Solutions for Vector Optimi
✍ Gue Myung Lee; Do Sang Kim; Hun Kuk πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 147 KB

We define the generalized efficient solution which is more general than the weakly efficient solution for vector optimization problems, and prove the existence of the generalized efficient solution for nondifferentiable vector optimization problems by using vector variational-like inequalities for s

Necessary Conditions for Optimal Control
✍ M.do R de Pinho; R.B Vinter πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 302 KB

Dynamic models which take the form of a coupled set of differential and Ε½ . algebraic equations DAEs are widely used in process systems engineering. Necessary conditions of optimality for optimal control problems involving such models are derived. A strong Maximum Principle is obtained under a conve

Generalized Constraint Qualifications an
✍ Huang Yong-Wei πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 106 KB

In this paper we discuss the connections of four generalized constraint qualifications for set-valued vector optimization problems with constraints. Then some K-T type necessary and sufficient optimality conditions are derived, in terms of the contingent epiderivatives.