Split Monotone Variational Inclusions

A. Moudafi ()
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A. Moudafi: Université des Antilles et de Guyane

Journal of Optimization Theory and Applications, 2011, vol. 150, issue 2, No 4, 275-283

Abstract: Abstract Based on the very recent work by Censor-Gibali-Reich ( http://arxiv.org/abs/1009.3780 ), we propose an extension of their new variational problem (Split Variational Inequality Problem) to monotone variational inclusions. Relying on the Krasnosel’skii-Mann Theorem for averaged operators, we analyze an algorithm for solving new split monotone inclusions under weaker conditions. Our weak convergence results improve and develop previously discussed Split Variational Inequality Problems, feasibility problems and related problems and algorithms.

Keywords: Monotone inclusion; Split variational inequality; Nonexpansive operator; Averaged operator; Inverse strong monotonicity (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (26)

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DOI: 10.1007/s10957-011-9814-6

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