Abstract
A new notion of the higher-order generalized adjacent derivative for a set-valued map is defined. By virtue of the derivative, a higher-order Mond- Weir type dual problem is introduced for a constrained set-valued optimization problem. The weak duality, strong duality and converse duality theorems are established.
Citation
Q. L. Wang. S. J. Li. C. R. Chen. "Higher-order Generalized Adjacent Derivative and Applications to Duality for Set-valued Optimization." Taiwanese J. Math. 15 (3) 1021 - 1036, 2011. https://doi.org/10.11650/twjm/1500406282
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