Multivalued operators and fixed-point theorems in Banach algebras. II
type: Item
instance of: scholarly article
title: Multivalued operators and fixed-point theorems in Banach algebras. II
zbMATH Open document ID: 1084.47045
publication date: 2005-06-01T00:00:00Z
review text: The author presents some versions of the Leray--Schauder alternative for multimaps which are the products of two multioperators in a Banach algebra, one of which is Lipschitzean and the other one compact. Some applications to the existence of solutions for differential inclusions under Lipschitz and Carathéodory conditions are given. [Part I appeared in Discuss. Math., Differ. Incl. Control Optim. 24, 97--122 (2004; Zbl 1078.47004).]
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 2173418
zbMATH Keywords: multivalued map
zbMATH Keywords: fixed point
zbMATH Keywords: Leray--Schauder alternative
zbMATH Keywords: Banach algebra
zbMATH Keywords: differential inclusion
author: Bapurao C. Dhage
reviewed by: Valerii V. Obukhovskij
MaRDI profile type: Publication
full work available at URL: j.camwa.2004.07.004
OpenAlex ID: W2001866748
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DOI: 10.1016/J.CAMWA.2004.07.004
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2173418