4 papers
Non-subdifferentiability optimality and mean value theorems via new relative subdifferentials
Vo Duc Thinh, Thai Doan Chuong, Xiaolong Qin
Motivated by the optimality principles for non-subdifferentiable optimization problems, we introduce new relative subdifferentials and examine some properties for relatively lower…
Coderivatives with respect to a set of the normal cone mappings and their applications
Vo Duc Thinh, Xiaolong Qin, Jen-Chih Yao
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 t…
Formulas for calculating of generalized differentials with respect to a set and their applications
Vo Duc Thinh, Xiaolong Qin, Jen-Chih Yao
This paper provides formulas for calculating of Fréchet and limiting normal cones with respect to a set of sets and the limiting coderivative with respect to a set of set-valued ma…
On new generalized differentials with respect to a set and their applications
Xiaolong Qin, Vo Duc Thinh, Jen-Chih Yao
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 l…