Výsledky vyhledávání - "Thinh, Vo Duc"

Report

Non-subdifferentiability optimality and mean value theorems via new relative subdifferentials

Autor: Thinh, Vo Duc, Chuong, Thai Doan, Qin, Xiaolong

Motivated by the optimality principles for non-subdifferentiable optimization problems, we introduce new relative subdifferentials and examine some properties for relatively lower semicontinuous functions including $\epsilon$-regular subdifferential

Externí odkaz: http://arxiv.org/abs/2410.10065

Zobrazit plný text záznamu

Report

Coderivatives with respect to a set of the normal cone mappings and their applications

Autor: Thinh, Vo Duc, Qin, Xiaolong, Yao, Jen-Chih

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 main goals of this paper. By using our coderivative formulas, we pr

Externí odkaz: http://arxiv.org/abs/2312.15834

Zobrazit plný text záznamu

Report

Formulas for calculating of generalized differentials with respect to a set and their applications

Autor: Thinh, Vo Duc, Qin, Xiaolong, Yao, Jen-Chih

This paper provides formulas for calculating of Fr\'{e}chet and limiting normal cones with respect to a set of sets and the limiting coderivative with respect to a set of set-valued mappings. These calculations are obtained under some qualification c

Externí odkaz: http://arxiv.org/abs/2311.08741

Zobrazit plný text záznamu

Report

On new generalized differentials with respect to a set and their applications

Autor: Qin, Xiaolong, Thinh, Vo Duc, Yao, Jen-Chih

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 limiting coderivative and subdifferential with respect to a set of mult

Externí odkaz: http://arxiv.org/abs/2307.15389

Zobrazit plný text záznamu