A note on the degree for maximal monotone mappings in finite dimensional spaces
type: Item
instance of: scholarly article
title: A note on the degree for maximal monotone mappings in finite dimensional spaces
zbMATH Open document ID: 1197.47072
author: Donal O'Regan
author: Fulong Wang
author: Ravi P. Agarwal
author: Yuqing Chen
published in: Applied Mathematics Letters
publication date: 2009-11-13T00:00:00Z
review text: The authors attempt to give an easy way to define the topological degree of a maximal monotone mapping as the limit of the classical Brouwer degrees of the Yosida approximations. Moreover, a homotopy property for the degree of a maximal monotone mapping and also for the degree of a subdifferential of a continuous convex function is obtained. Finally, they establish a product formula for the topological degree of the composition of a continuous mapping with a maximal monotone one.
reviewed by: Ruhollah Jahanipur
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H04
zbMATH DE Number: 5632826
zbMATH Keywords: degree theory
zbMATH Keywords: maximal monotone maps
MaRDI profile type: Publication
full work available at URL: j.aml.2009.06.016
OpenAlex ID: W2053696205
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DOI: 10.1016/J.AML.2009.06.016
description: scientific article; zbMATH DE number 5632826