## A composite explicit iterative process with a viscosity method for Lipschitzian semigroup in a smooth Banach space.(English)Zbl 1233.47058

Motivated by S. Saeidi [“Approximating common fixed points of Lipschitzian semigroup in smooth Banach spaces”, Fixed Point Theory Appl. 2008, Article ID 363257 (2008; Zbl 1177.47081)], the authors propose a composite iterative algorithm for approximating common fixed points of Lipschitzian semigroups on a compact convex subset of a smooth Banach space.

### MSC:

 47J25 Iterative procedures involving nonlinear operators 47H20 Semigroups of nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc.

Zbl 1177.47081