Sum theorems for maximally monotone operators of type (FPV)
type: Item
instance of: scholarly article
zbMATH Open document ID: 1303.47071
DOI: 10.1017/S1446788714000056
author: Jonathan M. Borwein
author: Liangjin Yao
published in: Journal of the Australian Mathematical Society
publication date: 2014-08-25T00:00:00Z
full work available at URL: https://arxiv.org/abs/1305.6691
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 52A41
Mathematics Subject Classification ID: 90C25
zbMATH DE Number: 6334046
zbMATH Keywords: constraint qualification
zbMATH Keywords: convex function
zbMATH Keywords: convex set
zbMATH Keywords: Fitzpatrick function
zbMATH Keywords: linear relation
zbMATH Keywords: maximally monotone operator
zbMATH Keywords: monotone operator
zbMATH Keywords: operator of type (FPV)
zbMATH Keywords: sum problem
MaRDI profile type: Publication
arXiv ID: 1305.6691
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OpenAlex ID: W3105318920
title: Sum theorems for maximally monotone operators of type (FPV)
review text: In this paper, the authors partially answer the open problem whether the sum of two maximal monotone operators is still maximal monotone. Under the condition that one operator is of type (FVP), the maximal monotonicity of the sum is proved. The result extends some previous works.
reviewed by: Yuqiang Feng
description: scientific article; zbMATH DE number 6334046