Hybrid approximation of solutions of integral equations of the hammerstein type

Zegeye, Habtu; Malonza, David M.

dc.contributor.author	Zegeye, Habtu
dc.contributor.author	Malonza, David M.
dc.date.accessioned	2025-07-23T08:00:35Z
dc.date.available	2025-07-23T08:00:35Z
dc.date.issued	2012-12-18
dc.identifier.citation	Arabian journal of mathematics, volume 2, pages 221–232, 2013	en_US
dc.identifier.issn	https://link.springer.com/content/pdf/10.1007/s40065-012-0060-z.pdf
dc.identifier.uri	http://repository.seku.ac.ke/xmlui/handle/123456789/8120
dc.description	DOI 10.1007/s40065-012-0060-z	en_US
dc.description.abstract	Let X be a uniformly convex and uniformly smooth real Banach space with dual X∗. Let F : X → X∗ and K : X∗ → X be continuous monotone operators. Suppose that the Hammerstein equation u + KFu = 0 has a solution in X. It is proved that a hybrid-type approximation sequence converges strongly to u∗, where u∗ is a solution of the equation u + KFu = 0. In our theorems, the operator K or F need not be defined on a compact subset of X and no invertibility assumption is imposed on K.	en_US
dc.language.iso	en	en_US
dc.subject	47H05	en_US
dc.subject	47H06	en_US
dc.subject	47H30	en_US
dc.subject	47J05	en_US
dc.subject	47J25	en_US
dc.title	Hybrid approximation of solutions of integral equations of the hammerstein type	en_US
dc.type	Article	en_US