A nonconvex separation property and some applications

被引：0

作者：

Alejandro Jofré

Jorge Rivera Cayupi

机构：

[1] Universidad de Chile,Centre for Mathematical Modelling and Departamento de Ingeniería Matemática

[2] Universidad de Chile,Departamento de Economía

来源：

Mathematical Programming | 2006年 / 108卷

关键词：

Variational analysis; Subgradient set; Nonconvex separation; Singular multiplier; Equilibrium price; Pareto optimum;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we proved a nonconvex separation property for general sets which coincides with the Hahn-Banach separation theorem when sets are convexes. Properties derived from the main result are used to compute the subgradient set to the distance function in special cases and they are also applied to extending the Second Welfare Theorem in economics and proving the existence of singular multipliers in Optimization.

引用

页码：37 / 51

页数：14

共 50 条

[41] The (true) concurrent Markov property and some applications to Markov nets
Abbes, S
APPLICATIONS AND THEORY OF PETRI NETS 2005, PROCEEDINGS, 2005, 3536 : 70 - 89
[42] Some applications of discrete selectivity and Banakh property in function spaces
Tkachuk, Vladimir V.
EUROPEAN JOURNAL OF MATHEMATICS, 2020, 6 (01) : 88 - 97
[43] RINGS WITH THE PROPERTY OF APPROXIMATION - SOME REMARKS AND APPLICATIONS OF ARTINS CONJECTURE
ESTRADA, M
MATHEMATISCHE NACHRICHTEN, 1985, 124 : 57 - 64
[44] On Nonconvex Pseudomonotone Equilibrium Problems with Applications
F. Lara
Set-Valued and Variational Analysis, 2022, 30 : 355 - 372
[45] A self-concordance property for nonconvex semidefinite programming
Garces, Rodrigo
Gomez, Walter
Jarre, Florian
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2011, 74 (01) : 77 - 92
[46] Some nonconvex shape optimization problems
Kawohl, B
OPTIMAL SHAPE DESIGN, 2000, 1740 : 7 - 46
[47] SOME CONTRIBUTIONS TO NONCONVEX SWEEPING PROCESS
Castaing, C.
Ibrahim, A. G.
Yarou, M.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2009, 10 (01) : 1 - 20
[48] SOME PARABOLIC EQUATIONS ON NONCONVEX CONSTRAINTS
SACCON, C
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1989, 3B (02): : 369 - 385
[49] On Nonconvex Pseudomonotone Equilibrium Problems with Applications
Lara, F.
SET-VALUED AND VARIATIONAL ANALYSIS, 2022, 30 (02) : 355 - 372
[50] Separation Approach for Augmented Lagrangians in Constrained Nonconvex Optimization
H. Z. Luo
G. Mastroeni
H. X. Wu
Journal of Optimization Theory and Applications, 2010, 144 : 275 - 290

← 1 2 3 4 5 →