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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.

Citations:

Zbl 1177.47081
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