Journal of Nonlinear and Variational Analysis

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DOI: 10.23952/jnva.8.2024.2.05

Volume 8, Issue 2, 1 April 2024, Pages 265-277

 

Abstract. In this paper, we first introduce the notion of (incident) higher-order generalized epiderivative for a set-valued map and obtain a crucial result of the epiderivative. Then we use this result to establish the higher-order sufficient and necessary optimality conditions of a constrained set-valued optimization problem. By virtue of the epiderivatives and the optimality conditions, we establish the higher-order mixed duality problem for the set-valued optimization problem and obtain the corresponding duality theorems.

 

How to Cite this Article:
Y.W. Hu, Y. Wang, X.B. Li, B. Yao, Higher-order mixed duality for set-valued optimization problems, J. Nonlinear Var. Anal. 8 (2024), 265-277.