title: Constructive techniques for zeros of monotone mappings in certain Banach spaces.
abstract: Let E be a 2-uniformly convex real Banach space with uniformly Gâteaux differentiable norm, and [Formula: see text] its dual space. Let [Formula: see text] be a bounded strongly monotone mapping such that [Formula: see text] For given [Formula: see text] let [Formula: see text] be generated by the algorithm: [Formula: see text]where J is the normalized duality mapping from E into [Formula: see text] and [Formula: see text] is a real sequence in (0, 1) satisfying suitable conditions. Then it is proved that [Formula: see text] converges strongly to the unique point [Formula: see text] Finally, our theorems are applied to the convex minimization problem.
authors.affiliation: Gaston Berger University, Saint Louis, Senegal.
authors.forename: C
authors.initials: C
authors.lastname: Diop
authors.affiliation: Gaston Berger University, Saint Louis, Senegal.
authors.forename: T M M
authors.initials: TM
authors.lastname: Sow
authors.affiliation: Gaston Berger University, Saint Louis, Senegal ; Department of Mathematics, African University of Sciences and Technology, Abuja, Nigeria.
authors.forename: N
authors.initials: N
authors.lastname: Djitte
authors.affiliation: Department of Mathematics, African University of Sciences and Technology, Abuja, Nigeria.
authors.forename: C E
authors.initials: CE
authors.lastname: Chidume
keywords: Bounded; Lipschitz; Strongly monotone