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Keywords = K-preinvex multi-valued map

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14 pages, 305 KB  
Article
On the Existence of Super Efficient Solutions and Optimality Conditions for Set-Valued Vector Optimization Problems
by Lu-Chuan Ceng, Ching-Feng Wen and Yeong-Cheng Liou
Mathematics 2022, 10(3), 316; https://doi.org/10.3390/math10030316 - 20 Jan 2022
Cited by 1 | Viewed by 1984
Abstract
In this paper, by using the normal subdifferential and equilibrium-like function we first obtain some properties for K-preinvex set-valued maps. Secondly, in terms of this equilibrium-like function, we establish some sufficient conditions for the existence of super minimal points of a K [...] Read more.
In this paper, by using the normal subdifferential and equilibrium-like function we first obtain some properties for K-preinvex set-valued maps. Secondly, in terms of this equilibrium-like function, we establish some sufficient conditions for the existence of super minimal points of a K-preinvex set-valued map, that is, super efficient solutions of a set-valued vector optimization problem, and also attain necessity optimality terms for a general type of super efficiency. Full article
(This article belongs to the Special Issue Applied Functional Analysis and Applications)
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