Viscosity approximation for fixed points of asymptotically nonexpansive semigroup in Banach space. (English) Zbl 1301.47093
Summary: We obtain convergence theorems of both an implicit iteration process and an explicit iteration process for an asymptotically nonexpansive semigroup in a Banach space with a uniform normal structure and a uniformly Gâteaux differentiable norm.
Editor’s remark. The authors do not mention their paper [Nonlinear Funct. Anal. Appl. 15, No. 4, 533–543 (2010; Zbl 1301.47092)] which contains analogous results in a slightly different situation.
Editor’s remark. The authors do not mention their paper [Nonlinear Funct. Anal. Appl. 15, No. 4, 533–543 (2010; Zbl 1301.47092)] which contains analogous results in a slightly different situation.
MSC:
47J25 | Iterative procedures involving nonlinear operators |
47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
47H20 | Semigroups of nonlinear operators |