Explicit Iteration Methods for Solving Variational Inequalities in Banach Spaces

Pham Thanh Hieu, Nguyen Thi Thu Thuy, Jean Jacques Strodiot

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    The problem of finding a solution of a variational inequality over the set of common fixed points of a nonexpansive semigroup is considered in a real and uniformly convex Banach space without imposing the sequential weak continuity of the normalized duality mapping. Two new explicit iterative methods are introduced based on the steepest-descent method, and conditions are given to obtain their strong convergence. A numerical example is showed to illustrate the convergence analysis of the proposed methods.

    langue originaleAnglais
    Pages (de - à)467-483
    Nombre de pages17
    journalBulletin of the Malaysian Mathematical Sciences Society
    Numéro de publication2
    Les DOIs
    Etat de la publicationPublié - 15 mars 2019

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