Extended Forward-Backward Algorithm

Abstract : We propose an extended forward-backward algorithm for approximating a zero of a maximal monotone operator which can be split as the extended sum of two maximal monotone operators. We establish the weak convergence in average of the sequence generated by the algorithm under assumptions similar to those used in classical forward-backward algorithms. This provides as a special case an algorithm for solving convex constrained minimization problems without qualification condition.
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Journal of Mathematical Analysis and applications, Elsevier, 2013, 403 (1), pp.167-172. <10.1016/j.jmaa.2013.02.022>
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https://hal.archives-ouvertes.fr/hal-00761657
Contributeur : Marc Lassonde <>
Soumis le : mercredi 5 décembre 2012 - 19:32:09
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

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Marc Lassonde, Ludovic Nagesseur. Extended Forward-Backward Algorithm. Journal of Mathematical Analysis and applications, Elsevier, 2013, 403 (1), pp.167-172. <10.1016/j.jmaa.2013.02.022>. <hal-00761657>

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