THE POLAR CONE OF THE SET OF MONOTONE MAPS

被引：0
|
作者：
Cavalletti, Fabio [1 ]
Westdickenberg, Michael [1 ]
机构：
[1] Rhein Westfal TH Aachen, Lehrstuhl Math Anal, D-52062 Aachen, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 02期
关键词：
Optimal transport; polar cone; CONVEX-FUNCTIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that every element of the polar cone to the closed convex cone of monotone transport maps can be represented as the divergence of a measure field taking values in the positive definite matrices.
引用
收藏
页码：781 / 787
页数：7
相关论文
共 50 条
  • [1] Characterizations of nonsmooth generalized polarly cone-monotone maps
    Ivanov, VI
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2005, 42 (04) : 445 - 458
  • [2] On cone convexity of set-valued maps
    Kuroiwa, D
    Tanaka, T
    Truong, XDH
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (03) : 1487 - 1496
  • [3] On the calculation of the polar cone of the solution set of a differential inclusion
    E. S. Polovinkin
    Proceedings of the Steklov Institute of Mathematics, 2012, 278 : 169 - 178
  • [4] Nonlinear scalarization functions and polar cone in set optimization
    S. Khoshkhabar-amiranloo
    E. Khorram
    M. Soleimani-damaneh
    Optimization Letters, 2017, 11 : 521 - 535
  • [5] Nonlinear scalarization functions and polar cone in set optimization
    Khoshkhabar-amiranloo, S.
    Khorram, E.
    Soleimani-damaneh, M.
    OPTIMIZATION LETTERS, 2017, 11 (03) : 521 - 535
  • [6] On the calculation of the polar cone of the solution set of a differential inclusion
    Polovinkin, E. S.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2012, 278 (01) : 169 - 178
  • [7] On set-valued cone absolutely summing maps
    Labuschagne, Coenraad C. A.
    Marraffa, Valeria
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2010, 8 (01): : 148 - 157
  • [8] On the set of non-wandering points of monotone maps on local dendrites
    Makhrova, E. N.
    Vaniukova, K. S.
    NOMA15 INTERNATIONAL WORKSHOP ON NONLINEAR MAPS AND APPLICATIONS, 2016, 692
  • [9] On the regularity of selections and on Minty points of generalized monotone set-valued maps
    Bianchi, M.
    Hadjisavvas, N.
    Pini, R.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 535 (02)
  • [10] On the weak polar cone of the solution set of a differential inclusion with conic graph
    Polovinkin, E. S.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2014, 20 (04): : 238 - 246
12345