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A new composite general iterative scheme for nonexpansive semigroups in Banach spaces. (English) Zbl 1221.47127

Summary: We introduce a new general composite iterative scheme for finding a common fixed point of nonexpansive semigroups in the framework of Banach spaces which admit a weakly continuous duality mapping. A strong convergence theorem of the proposed iterative approximation method is established under certain control conditions. Our results improve and extend those announced by many others.

MSC:

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