Iterative methods for solving variational inequalities of the theory of soft shells

Autor:	V. V. Banderov, I. B. Badriev
Rok vydání:	2014
Předmět:	Sequence Iterative method General Mathematics Bounded function Variational inequality Mathematical analysis Convergence (routing) Banach space Applied mathematics Monotonic function Lipschitz continuity Mathematics
Zdroj:	Lobachevskii Journal of Mathematics. 35:371-383
ISSN:	1818-9962 1995-0802
DOI:	10.1134/s1995080214040015
Popis:	The convergence of iterative methods for solving variational inequalities with monotone-type operators in Banach spaces is studied. Such inequalities arise in the description of deformation processes of soft rotational network shells. Certain properties of these operators, such as coercivity, potentiality, bounded Lipschitz continuity, pseudomonotonicity, and inverse strong monotonicity, are determined. An iterative method for solving these variational inequalities is proposed, its convergence is investigated, and the boundedness of the iterative sequence is proved. Moreover, it is proved that any weakly convergent subsequence of the iterative sequence converges to a solution of the original variational inequality.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0f43a335a453f531e755e4b809f6a432 https://doi.org/10.1134/s1995080214040015 Zobrazit plný text záznamu Full text from SpringerLink