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

Katchang, P.; Kumam, P.

Bull. Iran. Math. Soc. 37, No. 1, 143-159 (2011).

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.

Reviewer: Shahram Saeidi (Sanandaj)

MSC:

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

Keywords:

fixed point; nonexpansive mapping; Lipschitzian semigroup; Banach space

Citations:

Zbl 1177.47081