Structure Theory for Maximally Monotone Operators with Points of Continuity

被引:0
|
作者
Jonathan M. Borwein
Liangjin Yao
机构
[1] University of Newcastle,CARMA
关键词
Local boundedness; Maximally monotone operator; Monotone operator; Norm-weak; graph closedness; Property (Q);
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we consider the structure of maximally monotone operators in Banach space whose domains have nonempty interior and we present new and explicit structure formulas for such operators. Along the way, we provide new proofs of norm-to-weak∗ closedness and of property (Q) for these operators (as recently proven by Voisei). Various applications and limiting examples are given.
引用
收藏
页码:1 / 24
页数:23
相关论文
共 50 条
  • [1] Structure Theory for Maximally Monotone Operators with Points of Continuity
    Borwein, Jonathan M.
    Yao, Liangjin
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 157 (01) : 1 - 24
  • [2] Rectangularity and paramonotonicity of maximally monotone operators
    Bauschke, Heinz H.
    Wang, Xianfu
    Yao, Liangjin
    [J]. OPTIMIZATION, 2014, 63 (04) : 487 - 504
  • [3] CONTINUITY OF NONLINEAR MONOTONE OPERATORS
    FITZPATRICK, SP
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 62 (01) : 111 - 116
  • [4] Representative functions of maximally monotone operators and bifunctions
    Bianchi, Monica
    Hadjisavvas, Nicolas
    Pini, Rita
    [J]. MATHEMATICAL PROGRAMMING, 2018, 168 (1-2) : 433 - 448
  • [5] Learning Maximally Monotone Operators for Image Recovery
    Pesquet, Jean-Christophe
    Repetti, Audrey
    Terris, Matthieu
    Wiaux, Yves
    [J]. SIAM JOURNAL ON IMAGING SCIENCES, 2021, 14 (03): : 1206 - 1237
  • [6] Representative functions of maximally monotone operators and bifunctions
    Monica Bianchi
    Nicolas Hadjisavvas
    Rita Pini
    [J]. Mathematical Programming, 2018, 168 : 433 - 448
  • [7] Farthest points and monotone operators
    Westphal, U
    Schwartz, T
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1998, 58 (01) : 75 - 92
  • [8] Set of Points of Continuity and Maximally Discontinuous Extensions
    Soham Bakshi
    [J]. Resonance, 2022, 27 : 131 - 142
  • [9] Set of Points of Continuity and Maximally Discontinuous Extensions
    Bakshi, Soham
    [J]. RESONANCE-JOURNAL OF SCIENCE EDUCATION, 2022, 27 (01): : 131 - 142
  • [10] SUM THEOREMS FOR MAXIMALLY MONOTONE OPERATORS OF TYPE (FPV)
    Borwein, Jonathan M.
    Yao, Liangjin
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 97 (01) : 1 - 26