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

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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 interest.

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ژورنال

عنوان ژورنال: SpringerPlus

سال: 2015

ISSN: 2193-1801

DOI: 10.1186/s40064-015-1044-1