ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Second-order regularized continuous method for accretive inclusions

I. P. Ryazantseva1

AnnotationWe consider equations with set-valued accretive operators in Banach space, whose solutions are understood in the sense of inclusion. By using the resolvent, we reduce these equations to equations with single-valued operators. For the constructed problems, we suggest a regularized continuous method and obtain sufficient conditions for their strong convergence in some class of Banach spaces.
Keywordsaccretive operator, duality mapping, resolvent, continuous method, convergence

1Professor of Applid Mathematics Chair, Nizhnii Novgorod State Tehnical University after R. E. Alekseev, Nizhnii Novgorod;

Citation: I. P. Ryazantseva, "[Second-order regularized continuous method for accretive inclusions]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:1 (2015) 111–119 (In Russian)