Data dependence of the fixed point set of some multivalued weakly Picard operators.
type: Item
instance of: scholarly article
title: Data dependence of the fixed point set of some multivalued weakly Picard operators.
zbMATH Open document ID: 1055.47047
DOI: 10.1016/S0362-546X(02)00288-2
author: Ioan A. Rus
author: Adrian Petruşel
author: Alina Sîntămărian
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-04-02T00:00:00Z
review text: The authors study the continuous dependence of the fixed point set of multivalued so-called weakly Picard operators on data, as well as of \(R\)-operators in the sense of \textit{S. Reich} [Boll. Unione Mat. Ital., IV. Ser. 4, 1--11 (1971; Zbl 0219.54042)]. An application to the Uryson type integral inclusion \[ y(t)\in \int^b_a K(t,s,y(s))\,ds+ g(t) \] is also given.
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1891307
zbMATH Keywords: multivalued weakly Picard operator
zbMATH Keywords: fixed point
zbMATH Keywords: data dependence
zbMATH Keywords: integral inclusion
reviewed by: Jürgen Appell
MaRDI profile type: Publication
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full work available at URL: s0362-546x(02)00288-2
OpenAlex ID: W2036128352
description: scientific article; zbMATH DE number 1891307