Carathéodory convex selections of set-valued functions in Banach lattices
type: Item
instance of: scholarly article
title: Carathéodory convex selections of set-valued functions in Banach lattices
zbMATH Open document ID: 1364.28012
DOI: 10.12775/TMNA.2014.001
author: Jerzy Motyl
published in: Topological Methods in Nonlinear Analysis
publication date: 2017-04-04T00:00:00Z
review text: Let \(T\) be measurable space \(X\) a Banach space while \(Y\) a Banach lattice. We consider the class of ``upper separated'' set-valued functions \(F:T \times X \to 2^Y\) and investigate the problem of the existence of Carathéodory type selection, that is, measurable in the first variable and order-convex in the second variable.
Mathematics Subject Classification ID: 28B20
Mathematics Subject Classification ID: 54C35
zbMATH DE Number: 6700738
zbMATH Keywords: Banach lattice
zbMATH Keywords: convex selection
zbMATH Keywords: Carathéodory type selection
zbMATH Keywords: multifunction
reviewed by: Ryszard Pawlak
MaRDI profile type: Publication
full work available at URL: tmna.2014.001
OpenAlex ID: W2340238754
description: scientific article; zbMATH DE number 6700738