On new generalized differentials with respect to a set and their applications
X Qin, V Duc Thinh, JC Yao - Set-Valued and Variational Analysis, 2024 - Springer
The notions and certain fundamental characteristics of the proximal and limiting normal
cones with respect to a set are first presented in this paper. We present the ideas of the …
cones with respect to a set are first presented in this paper. We present the ideas of the …
Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications
This paper provides formulas for calculating Fréchet and limiting normal cones with respect
to a set of sets and the limiting coderivative with respect to a set of set-valued mappings …
to a set of sets and the limiting coderivative with respect to a set of set-valued mappings …
Optimality and duality of approximate quasi weakly efficient solution for nonsmooth vector optimization problems
W Li, G Yu - Mathematical Problems in Engineering, 2022 - Wiley Online Library
This paper aims at studying optimality conditions and duality theorems of an approximate
quasi weakly efficient solution for a class of nonsmooth vector optimization problems (VOP) …
quasi weakly efficient solution for a class of nonsmooth vector optimization problems (VOP) …
Second order variational analysis of disjunctive constraint sets and its applications to optimization problems
In this paper, we examine the properly twice epi-differentiability and compute the second
order epi-subderivative of the indicator function to a class of sets including the finite union of …
order epi-subderivative of the indicator function to a class of sets including the finite union of …
Coderivatives with respect to a set of the normal cone mappings and their applications
Establishing explicit formulas of coderivatives with respect to a set of the normal cone
mapping to a polyhedron, the solution set of a variational inequalities system, is one of the …
mapping to a polyhedron, the solution set of a variational inequalities system, is one of the …
On the calm b-differentiability of projector onto circular cone and its applications
VD Thinh - Science and Technology …, 2020 - stdj.scienceandtechnology.com.vn
In this paper, we study a concept on the calm B-differentiability, a new kind of generalized
differentiabilities for a given vector function introduced by Ye and Zhou in 2017, of the …
differentiabilities for a given vector function introduced by Ye and Zhou in 2017, of the …