Maximally monotone linear subspace extensions of monotone subspaces: explicit constructions and characterizations

Title: Maximally monotone linear subspace extensions of monotone subspaces: explicit constructions and characterizations
Creator: Wang, Xianfu; Yao, Liangjin
Relation: Mathematical Programming Vol. 139, Issue 1-2, p. 327-352
Publisher Link: http://dx.doi.org/10.1007/s10107-013-0674-8
Publisher: Springer
Resource Type: journal article
Date: 2013
Description: Monotone linear relations play important roles in variational inequality problems and quadratic optimizations. In this paper, we give explicit maximally monotone linear subspace extensions of a monotone linear relation in finite dimensional spaces. Examples are provided to illustrate our extensions. Our results generalize a recent result by Crouzeix and Ocaña-Anaya.
Subject: adjoint of linear relation; linear relation; monotone operator; maximally monotone extensions; minty parametrization; 47H05; 47B65; 47A06; 49N15
Identifier: http://hdl.handle.net/1959.13/1300692
Identifier: uon:20119
Identifier: ISSN:0025-5610
Language: eng
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