title: Krasnoselskii-type algorithm for zeros of strongly monotone Lipschitz maps in classical banach spaces.
abstract: 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.
authors.affiliation: African University of Science and Technology, Abuja, Nigeria.
authors.forename: C E
authors.initials: CE
authors.lastname: Chidume
authors.affiliation: African University of Science and Technology, Abuja, Nigeria ; Federal University, Dutsin-Ma, Dutsin-Ma, Katsina State Nigeria.
authors.forename: A U
authors.initials: AU
authors.lastname: Bello
authors.affiliation: African University of Science and Technology, Abuja, Nigeria.
authors.forename: B
authors.initials: B
authors.lastname: Usman
keywords: Hölder continiuty; Lipschitz; Strongly monotone