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Convex analysis can be helpful for the asymptotic analysis of monotone operators

Asymptotic analysis of monotone operators

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Abstract

We use representations of maximal monotone operators for studying recession (or asymptotic) operators associated to maximal monotone operators. Such a concept is useful for dealing with unboundedness.

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Authors and Affiliations

  1. Faculté des sciences, Laboratoire de Mathématiques appliquées, ERS CNRS 2570, av. de l’Université, 64000, Pau, France

    J. -P. Penot

  2. Faculty of Mathematics, University “Al.I. Cuza” Iaşi, Bd.Carol I, Nr. 11, 700506, Iaşi, Romania

    C. Zălinescu

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  1. J. -P. Penot
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  2. C. Zălinescu
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Correspondence to J. -P. Penot.

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Dedicated to Alfred Auslender on the occasion of his 65th birthday.

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Penot, J.P., Zălinescu, C. Convex analysis can be helpful for the asymptotic analysis of monotone operators. Math. Program. 116, 481–498 (2009). https://doi.org/10.1007/s10107-007-0114-8

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  • DOI: https://doi.org/10.1007/s10107-007-0114-8

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