Higher-order optimality conditions of robust Benson proper efficient solutions in uncertain vector optimization problems

Wang, Qilin; Jin, Jing; Zhai, Yuwen

doi:10.1007/s11590-023-02061-1

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“…, which contradicts to the assumption that D x  is an optimal solution of (VPST1). Our results in Sections 3, 4 and 5 modified the corresponding results in [9][10][11][12], and our ideas and methods may be used to extend the results in [13,14].…”

Section: Weakly Efficient Solutionsmentioning

confidence: 60%

On the Existence of Super Efficient Solutions and Optimality Conditions for Set-Valued Vector Optimization Problems

2022

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In this paper, by using the normal subdifferential and equilibrium-like function we first obtain some properties for K-preinvex set-valued maps. Secondly, in terms of this equilibrium-like function, we establish some sufficient conditions for the existence of super minimal points of a K-preinvex set-valued map, that is, super efficient solutions of a set-valued vector optimization problem, and also attain necessity optimality terms for a general type of super efficiency.

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