Some properties of nonconvex oriented distance function and applications to vector optimization problems
Some properties of nonconvex oriented distance function and applications to vector optimization problems
复制标题
DOI：
10.3934/jimo.2020117
复制
发表时间：
2021
影响因子：
1.3
通讯作者：
L. Tang;Ying Gao
中科院分区：
文献类型：
--
作者：
L. Tang;Ying Gao
本文研究了非凸定向距离函数的一些有趣性质。特别地，我们给出了有向距离函数单调性的完整刻画。此外，在固体情况下，研究了非凸定向距离函数的Clark次微分.作为应用，给出了向量优化问题近似解的模糊最优性必要条件。
In this paper, we study some interesting properties of nonconvex oriented distance function. In particular, we present complete characterizations of monotonicity properties of oriented distance function. Moreover, the Clark subdifferentials of nonconvex oriented distance function are explored in the solid case. As applications, fuzzy necessary optimality conditions for approximate solutions to vector optimization problems are provided.