학술논문
Second-order methods for accretive inclusions in a Banach space.
Document Type
Article
Author
Source
Subject
*DIFFERENTIAL inclusions
*BANACH spaces
*SET-valued maps
*ITERATIVE methods (Mathematics)
*STOCHASTIC convergence
*DIFFERENTIAL equations
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Language
ISSN
0012-2661
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. [ABSTRACT FROM AUTHOR]