[图书][B] Variational analysis and applications
BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Calculus for directional limiting normal cones and subdifferentials
M Benko, H Gfrerer, JV Outrata - Set-Valued and Variational Analysis, 2019 - Springer
The paper is devoted to the development of a comprehensive calculus for directional limiting
normal cones, subdifferentials and coderivatives in finite dimensions. This calculus …
normal cones, subdifferentials and coderivatives in finite dimensions. This calculus …
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 …
Stability of efficient solutions to set optimization problems
This article deals with considering stability properties of Pareto minimal solutions to set
optimization problems with the set less order relation in real topological Hausdorff vector …
optimization problems with the set less order relation in real topological Hausdorff vector …
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 …
Nonlinear scalarizations in set optimization with variable ordering structures and applications
D Vinh Hien, N Le Hoang Anh - Journal of Applied Mathematics and …, 2024 - Springer
A new version of the nonlinear scalarizing function in set optimization based on variable
ordering structures is proposed. Under appropriate assumptions, the properties of this …
ordering structures is proposed. Under appropriate assumptions, the properties of this …
Directional subdifferential of the value function
K Bai, JJ Ye - arXiv preprint arXiv:2211.12597, 2022 - arxiv.org
The directional subdifferential of the value function gives an estimate on how much the
optimal value changes under a perturbation in a certain direction. In this paper we derive …
optimal value changes under a perturbation in a certain direction. In this paper we derive …
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 …
Subdifferentials and derivatives with respect to a set and applications to optimization
In this article, we first examine some properties and calculus rules for the limiting
subdifferential with respect to a set for functions. To do this, we propose corresponding …
subdifferential with respect to a set for functions. To do this, we propose corresponding …
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 …