Krasnoselskii-type algorithm for zeros of strongly monotone Lipschitz maps in classical banach spaces

Let [Formula: see text] , [Formula: see text] , and [Formula: see text] be a strongly monotone and Lipschitz mapping. A Krasnoselskii-type sequence is constructed and proved to converge strongly to the unique solution of [Formula: see text] . Furthermore, our technique of proo f is of independent in...

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Detalles Bibliográficos
Autores principales: Chidume, C E, Bello, A U, Usman, B
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2015
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4483176/
https://www.ncbi.nlm.nih.gov/pubmed/26140261
http://dx.doi.org/10.1186/s40064-015-1044-1
Descripción
Sumario:Let [Formula: see text] , [Formula: see text] , and [Formula: see text] be a strongly monotone and Lipschitz mapping. A Krasnoselskii-type sequence is constructed and proved to converge strongly to the unique solution of [Formula: see text] . Furthermore, our technique of proo f is of independent interest.

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