Abstract
In the paper, we first develop sum and chain rules of higher-order radial derivatives. By virtue of these derivatives, we establish duality theorems for a primal-dual pair in set-valued optimization. Then, their applications to optimality conditions for weakly efficient solutions are implied. Our results are more advantageous than several existing ones in the literature, especially in case of the ordering cone in the constraint space having possibly empty interior.
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More From: Bulletin of the Malaysian Mathematical Sciences Society
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