학술논문
Existence Theorems in Vector Optimization with Generalized Order.
Document Type
Article
Author
Source
Subject
*EXISTENCE theorems
*MATHEMATICAL optimization
*VECTOR analysis
*GENERALIZATION
*SET theory
*CONVEX domains
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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]