- 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
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