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Convergence theorems of modified Ishikawa iterative scheme for two nonexpansive semigroups. (English) Zbl 1203.47081

Summary: We prove convergence theorems of a modified Ishikawa iterative sequence for two nonexpansive semigroups in Hilbert spaces by two hybrid methods. Our results improve and extend the corresponding results announced by S. Saejung [Fixed Point Theory Appl. 2008, Article ID 745010 (2008; Zbl 1203.47077)] and some others.

MSC:

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

Citations:

Zbl 1203.47077
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References:

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