Approximate quasi efficiency of set-valued optimization problems via weak subdifferential

被引：0
作者：
Das K. [1 ]
Nahak C. [1 ]
机构：
[1] Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302, West Bengal
来源：
SeMA Journal | 2017年 / 74卷 / 4期
关键词：
Approximate solution; Convex cone; Duality; Set-valued map; Weak subdifferential;
D O I：
10.1007/s40324-016-0099-4
中图分类号：
学科分类号：
摘要：
This paper deals with the approximate quasi efficient solutions of set-valued optimization problems. We establish the necessary and sufficient optimality conditions for ϵe-quasi efficiency via weak subdifferential under some approximate cone convexity assumptions. We also study duality results of Wolfe and Mond-Weir types for Geoffrion ϵe-quasi efficiency of finite dimensional set-valued optimization problems. © 2016, Sociedad Española de Matemática Aplicada.
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页码：523 / 542
页数：19
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