Maximally monotone linear subspace extensions of monotone subspaces: explicit constructions and characterizations

被引：0

作者：

Xianfu Wang

Liangjin Yao

机构：

[1] University of British Columbia,Mathematics, Irving K. Barber School

[2] CARMA,undefined

[3] University of Newcastle,undefined

来源：

Mathematical Programming | 2013年 / 139卷

关键词：

Adjoint of linear relation; Linear relation; Monotone operator; Maximally monotone extensions; Minty parametrization; 47H05; 47B65; 47A06; 49N15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Monotone linear relations play important roles in variational inequality problems and quadratic optimizations. In this paper, we give explicit maximally monotone linear subspace extensions of a monotone linear relation in finite dimensional spaces. Examples are provided to illustrate our extensions. Our results generalize a recent result by Crouzeix and Ocaña-Anaya.

引用

页码：327 / 352

页数：25

共 16 条

[1] Maximally monotone linear subspace extensions of monotone subspaces: explicit constructions and characterizations
Wang, Xianfu
Yao, Liangjin
MATHEMATICAL PROGRAMMING, 2013, 139 (1-2) : 327 - 352
[2] Maximality of the Sum of a Maximally Monotone Linear Relation and a Maximally Monotone Operator
Borwein, Jonathan M.
Yao, Liangjin
SET-VALUED AND VARIATIONAL ANALYSIS, 2013, 21 (04) : 603 - 616
[3] Maximality of the Sum of a Maximally Monotone Linear Relation and a Maximally Monotone Operator
Jonathan M. Borwein
Liangjin Yao
Set-Valued and Variational Analysis, 2013, 21 : 603 - 616
[4] The Sum of a Maximally Monotone Linear Relation and the Subdifferential of a Proper Lower Semicontinuous Convex Function is Maximally Monotone
Liangjin Yao
Set-Valued and Variational Analysis, 2012, 20 : 155 - 167
[5] The Sum of a Maximally Monotone Linear Relation and the Subdifferential of a Proper Lower Semicontinuous Convex Function is Maximally Monotone
Yao, Liangjin
SET-VALUED AND VARIATIONAL ANALYSIS, 2012, 20 (02) : 155 - 167
[6] Linear Monotone Subspaces of Locally Convex Spaces
M. D. Voisei
C. Zălinescu
Set-Valued and Variational Analysis, 2010, 18 : 29 - 55
[7] Linear Monotone Subspaces of Locally Convex Spaces
Voisei, M. D.
Zalinescu, C.
SET-VALUED AND VARIATIONAL ANALYSIS, 2010, 18 (01) : 29 - 55
[8] On some qualitative properties of monotone linear extensions of dynamical systems
A. L. Grechko
Ukrainian Mathematical Journal, 2012, 63 : 1506 - 1516
[9] On some qualitative properties of monotone linear extensions of dynamical systems
Grechko, A. L.
UKRAINIAN MATHEMATICAL JOURNAL, 2012, 63 (10) : 1506 - 1516
[10] GOSSEZ'S SKEW LINEAR MAP AND ITS PATHOLOGICAL MAXIMALLY MONOTONE MULTIFUNCTIONS
Simons, Stephen
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (10) : 4355 - 4361

← 1 2 →