Title of article
A nonlinear version of the Kantorovich–Rubinstein maximum principle Original Research Article
Author/Authors
Henryk Gacki، نويسنده , , Andrzej Lasota, Michael C. Mackey، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
9
From page
117
To page
125
Abstract
The classical Kantorovich–Rubinstein theory gives necessary conditions for maxima of linear functionals acting on the space of Lipschitzian functions. We show analogous results for some nonlinear functionals of Hammerstein type. Our proofs are based on theorems concerning local changes of Lipschitzian functions similar to the McShane extension theorem.
Keywords
Wasserstein norm , McShane extension theorem , Nonlinear functional , Kantorovich–Rubinstein theorem
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2003
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
858183
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