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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Original Russian Text © I.P. Ryazantseva, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 9, pp. 1264–1275.
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Ryazantseva, I.P. Second-order methods for accretive inclusions in a Banach space. Diff Equat 50, 1252–1263 (2014). https://doi.org/10.1134/S0012266114090122
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DOI: https://doi.org/10.1134/S0012266114090122