Second-order methods for accretive inclusions in a Banach space

Autor:	I. P. Ryazantseva
Rok vydání:	2014
Předmět:	Pure mathematics Approximation property General Mathematics Eberlein–Šmulian theorem Mathematical analysis Infinite-dimensional vector function Banach space Banach manifold Resolvent formalism C0-semigroup Analysis Mathematics Resolvent
Zdroj:	Differential Equations. 50:1252-1263
ISSN:	1608-3083 0012-2661
DOI:	10.1134/s0012266114090122
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::539fd24491f736bcf03c03dd3cf9d552 https://doi.org/10.1134/s0012266114090122 Zobrazit plný text záznamu Plný text ve formátu PDF