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Second-order methods for accretive inclusions in a Banach space

Research paper by I. P. Ryazantseva

Indexed on: 11 Oct '14Published on: 11 Oct '14Published in: Differential Equations



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.