Necessary and sufficient optimality conditions for set-valued optimization problems
Keyword(s):
Abstract Using a special scalarization employed for the first time for the study of necessary optimality conditions in vector optimization by Ciligot-Travain [Numer. Funct. Anal. Optim. 15: 689–693, 1994], we give necessary optimality conditions for a set-valued optimization problem by establishing the existence of Lagrange–Fritz–John multipliers. Also, sufficient optimality conditions are given without any Lipschitz assumption.
2013 ◽
Vol 4
(1)
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pp. 11-20
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2016 ◽
Vol 6
(2)
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pp. 189-203
2020 ◽
Vol 9
(2)
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pp. 383-398