Structure theory for maximally monotone operators with points of continuity

Title: Structure theory for maximally monotone operators with points of continuity
Creator: Borwein, Jonathan M.; Yao, Liangjin
Relation: ARC
Relation: Journal of Optimization Theory and Applications Vol. 157, Issue 1, p. 1-24
Publisher Link: http://dx.doi.org/10.1007/s10957-012-0162-y
Publisher: Springer
Resource Type: journal article
Date: 2013
Description: In this paper, we consider the structure of maximally monotone operators in Banach space whose domains have nonempty interior and we present new and explicit structure formulas for such operators. Along the way, we provide new proofs of norm-to-weak* closedness and of property (Q) for these operators (as recently proven by Voisei). Various applications and limiting examples are given.
Subject: local boundedness; maximally monotone operator; monotone operator; norm-weak* graph closedness; property (Q)
Identifier: http://hdl.handle.net/1959.13/1057064
Identifier: uon:16127
Identifier: ISSN:0022-3239
Language: eng
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