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Optimality conditions and duality results for generalized-Hukuhara subdifferentiable preinvex vector interval optimization problems
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In this paper, a class of preinvex vector interval optimization problems
(VIOP) with gH-subdifferential is considered, and the optimality
conditions and dual results are gained. Firstly, the definition of
subgradient for preinvex interval valued function under
gH-difference is given, and examples are given to verify the
difference between the subgradient in this paper and the subgradient
in[28]. Secondly, by means of gH-subdifferential, the
Karush-Kuhn-Tucker sufficient and necessary conditions for preinvex
(VIOP) are studied. Then, the Mond-Weir dual problem and Wolfe dual
problem of preinvex (VIOP) are established, furthermore, weak duality,
strong duality, and converse duality theorems are obtained by using the
gH-subdifferential. Some examples are given to illustrate the
main results. To some extent, the main results generalize the existing
relevant results.
Title: Optimality conditions and duality results for generalized-Hukuhara subdifferentiable preinvex vector interval optimization problems
Description:
In this paper, a class of preinvex vector interval optimization problems
(VIOP) with gH-subdifferential is considered, and the optimality
conditions and dual results are gained.
Firstly, the definition of
subgradient for preinvex interval valued function under
gH-difference is given, and examples are given to verify the
difference between the subgradient in this paper and the subgradient
in[28].
Secondly, by means of gH-subdifferential, the
Karush-Kuhn-Tucker sufficient and necessary conditions for preinvex
(VIOP) are studied.
Then, the Mond-Weir dual problem and Wolfe dual
problem of preinvex (VIOP) are established, furthermore, weak duality,
strong duality, and converse duality theorems are obtained by using the
gH-subdifferential.
Some examples are given to illustrate the
main results.
To some extent, the main results generalize the existing
relevant results.
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