Optimality Conditions For Approximate Solutions Of Set-Valued Optimization Problems In Real Linear Spaces

E. Kiyani,S. M. Vaezpour, C. J. Tavakoli

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS（2021）

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摘要

In this paper, we deal with optimization problems without assuming any topology. We study approximate efficiency and Q- Henig proper efficiency for the set-valued vector optimization problems, where Q is not necessarily convex. We use scalarization approaches based on nonconvex separation function to present some necessary and sufficient conditions for approximate (proper and weak) efficient solutions.

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关键词

Vector optimization, Set-valued maps, Approximate weak efficiency, Approximate proper efficiency, Vector closure

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