Higher-order symmetric duality in nondifferentiable multiobjective optimization over cones
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In this paper, a new pair of higher-order nondifferentiable multiobjective symmetric dual programs over arbitrary cones is formulated, where each of the objective functions contains a support function of a compact convex set. We identify a function lying exclusively in the class of higher-order K-?-convex and not in the class of K-?-bonvex function already existing in literature. Weak, strong and converse duality theorems are then established under higher-order K-?-convexity assumptions. Self duality is obtained by assuming the functions involved to be skew-symmetric. Several known results are also discussed as special cases.
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2001 ◽
Vol 70
(3)
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pp. 323-336
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Keyword(s):
1984 ◽
Vol 16
(02)
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pp. 324-346
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Keyword(s):
1974 ◽
Vol 6
(03)
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pp. 563-579
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Keyword(s):
1984 ◽
Vol 27
(2)
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pp. 233-237
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Keyword(s):
1988 ◽
Vol 37
(2)
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pp. 177-200