First-order regularization methods for accretive inclusions in a Banach space

Autor:	I. P. Ryazantseva
Rok vydání:	2014
Předmět:	Computational Mathematics Pseudo-monotone operator Operator (computer programming) Iterative method Mathematical analysis Banach space Finite-rank operator Resolvent formalism C0-semigroup Compact operator Mathematics
Zdroj:	Computational Mathematics and Mathematical Physics. 54:1647-1658
ISSN:	1555-6662 0965-5425
DOI:	10.1134/s0965542514110116
Popis:	Equations with set-valued accretive operators in a Banach space are considered. Their solutions are understood in the sense of inclusions. By applying the resolvent of the set-valued part of the equation operator, these equations are reduced to ones with single-valued operators. For the constructed problems, a regularized continuous method and a regularized first-order implicit iterative process are proposed. Sufficient conditions for their strong convergence are obtained in the case of approximately specified data.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::75d7a9a62b28c38cc827082491cdda4e https://doi.org/10.1134/s0965542514110116 Zobrazit plný text záznamu Full text from SpringerLink