Second-order methods for accretive inclusions in a Banach space |
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Authors: | I P Ryazantseva |
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Institution: | 1. Nizhni Novgorod State Technical University, Nizhni Novgorod, Russia
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Abstract: | We consider equations with set-valued accretive operators in a 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 continuous and an iteration second-order method and obtain sufficient conditions for their strong convergence in some class of Banach spaces. |
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