Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator

Title: Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator
Creator: Borwein, Jonathan M.; Yao, Liangjin
Relation: ARC
Relation: Set-Valued and Variational Analysis Vol. 21, Issue 4, p. 603-616
Publisher Link: http://dx.doi.org/10.1007/s11228-013-0259-y
Publisher: Springer
Resource Type: journal article
Date: 2013
Description: The most famous open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that Rockafellar’s constraint qualification holds. In this paper, we prove the maximal monotonicity of A + B provided that A, B are maximally monotone and A is a linear relation, as soon as Rockafellar’s constraint qualification holds: domA∩intdomB≠∅. Moreover, A + B is of type (FPV).
Subject: constraint qualification; convex set; Fitzpatrick function; linear relation; maximally monotone operator; monotone operator; monotone operator of type (FPV); multifunction normal cone
Identifier: http://hdl.handle.net/1959.13/1311508
Identifier: uon:22219
Identifier: ISSN:1877-0533
Rights: The final publication is available at Springer via http://dx.doi.org/10.1007/s11228-013-0259-y
Language: eng
Full Text
Reviewed

		Thumbnail	File	Description	Size	Format
View Details Download			ATTACHMENT02	Author final version	374 KB	Adobe Acrobat PDF	View Details Download