학술논문

Existence Theorems in Vector Optimization with Generalized Order.
Document Type
Article
Source
Journal of Optimization Theory & Applications. Sep2017, Vol. 174 Issue 3, p728-745. 18p.
Subject
*EXISTENCE theorems
*MATHEMATICAL optimization
*VECTOR analysis
*GENERALIZATION
*SET theory
*CONVEX domains
Language
ISSN
0022-3239
Abstract
In the present paper, we establish some results for the existence of optimal solutions in vector optimization in infinite-dimensional spaces, where the optimality notion is understood in the sense of generalized order (may not be convex and/or conical). This notion is induced by the concept of set extremality and covers many of the conventional notions of optimality in vector optimization. Some sufficient optimality conditions for optimal solutions of a class of vector optimization problems, which satisfies the free disposal hypothesis, are also examined. [ABSTRACT FROM AUTHOR]