A Kind of New Higher-Order Mond-Weir Type Duality for Set-Valued Optimization Problems

In this paper, we introduce the notion of higher-order weak adjacent epiderivative for a set-valued map without lower-order approximating directions and obtain existence theorem and some properties of the epiderivative. Then by virtue of the epiderivative and Benson proper efficiency, we establish t...

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Bibliographic Details
Main Authors: Liu He, Qi-Lin Wang, Ching-Feng Wen, Xiao-Yan Zhang, Xiao-Bing Li
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/4/372