Split Monotone Variational Inclusions
نویسنده
چکیده
Based on the very recent work by Censor-Gibali-Reich [7], we propose an extension of their new variational problem (Split Variational Inequality Problem) to monotone variational inclusions. Relying on the Krasnoselskii-Mann Theorem for averaged operators, we analyze an algorithm for solving a new split monotone inclusions under weaker conditions. Our results improve and develop previously discussed Split Variational Inequality Problem, feasibility problems and related problems and algorithms. AMS subject classification: Primary, 49J53, 65K10; Secondary, 49M37, 90C25.
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عنوان ژورنال:
- J. Optimization Theory and Applications
دوره 150 شماره
صفحات -
تاریخ انتشار 2011