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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2015, Volume 17, Number 1, Pages 111–119 (Mi svmo525)

Second-order regularized continuous method for accretive inclusions

I. P. Ryazantseva

Nizhny Novgorod State Technical University

Abstract: We 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

Keywords: accretive operator, duality mapping, resolvent, continuous method, convergence.

UDC: 519.624

Received: 17.07.2015



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