Title of article
Locally Lipschitz selections in Banach lattices Original Research Article
Author/Authors
Mariusz Michta، نويسنده , , Jerzy Motyl، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
8
From page
2335
To page
2342
Abstract
Let XX be a Banach space while (Y,⪯)(Y,⪯) is a Banach lattice. We consider the class of “upper separated” set-valued functions F:X→2YF:X→2Y and investigate the problem of the existence of convex and locally Lipschitz selections of FF. We discuss some applications of the selection results obtained in the paper to the theory of deterministic and stochastic differential inclusions.
Keywords
Upper separated multifunction , Convex selection , Legendre–Fenchel transform , Stochastic differential inclusion , differential inclusion , Order complete Banach lattice
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861357
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