A partial complement method for approximating solutions of a primal dual fixed-point problem

Abstract : We study the convergence of the Mann Iteration applied to the partial complement of a firmly nonexpansive operator with respect to a linear subspace of a Hilbert space. A new concept considered here. A regularized version is also proposed. Furthermore, to motivate this concept, some applications to robust regression procedures and location problems are proposed.
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https://hal.univ-antilles.fr/hal-00776655
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Submitted on : Tuesday, January 15, 2013 - 9:37:27 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

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Abdellatif Moudafi. A partial complement method for approximating solutions of a primal dual fixed-point problem. Optimization Letters, Springer Verlag, 2010, 4 (3), pp.449-456. ⟨10.1007/s11590-009-0172-3⟩. ⟨hal-00776655⟩

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