Optimality and duality in set-valued optimization utilizing limit sets
Keyword(s):
AbstractThis paper deals with optimality conditions and duality theory for vector optimization involving non-convex set-valued maps. Firstly, under the assumption of nearly cone-subconvexlike property for set-valued maps, the necessary and sufficient optimality conditions in terms of limit sets are derived for local weak minimizers of a set-valued constraint optimization problem. Then, applications to Mond-Weir type and Wolfe type dual problems are presented.
2017 ◽
Vol 48
(3)
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pp. 273-287
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2013 ◽
Vol 4
(1)
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pp. 11-20
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2014 ◽
Vol 243
(1-2)
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pp. 335-348
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