Maximally Monotone Linear Subspace Extensions of Monotone Subspaces: Explicit Constructions and Characterizations

Mathematics – Functional Analysis

Scientific paper

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27 pages

Scientific paper

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 Anaya.

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