Monotone operators without enlargements

Title: Monotone operators without enlargements
Creator: Borwein, Jonathan M.; Burachik , Regina S.; Yao, Liangjin
Relation: Computational and Analytical Mathematics p. 79-103
Relation: Springer Proceedings in Mathematics & Statistics 50
Publisher Link: http://dx.doi.org/10.1007/978-1-4614-7621-4_5
Publisher: Springer
Resource Type: book chapter
Date: 2013
Description: Enlargements have proven to be useful tools for studying maximally monotone mappings. It is therefore natural to ask in which cases the enlargement does not change the original mapping. Svaiter has recently characterized nonenlargeable operators in reflexive Banach spaces and has also given some partial results in the nonreflexive case. In the present paper, we provide another characterization of non-enlargeable operators in nonreflexive Banach spaces under a closedness assumption on the graph. Furthermore, and still for general Banach spaces, we present a new proof of the maximality of the sum of two maximally monotone linear relations. We also present a new proof of the maximality of the sum of a maximally monotone linear relation and a normal cone operator when the domain of the linear relation intersects the interior of the domain of the normal cone.
Subject: number theory; functional analysis; operator theory; operations research; management science
Identifier: http://hdl.handle.net/1959.13/1294340
Identifier: uon:18770
Identifier: ISBN:9781461476214
Language: eng