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.
|Pages (de - à)||467-483|
|Nombre de pages||17|
|journal||Bulletin of the Malaysian Mathematical Sciences Society|
|Numéro de publication||2|
|Etat de la publication||Publié - 15 mars 2019|