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Zbl 1226.47053
Kocourek, Pavel; Takahashi, Wataru; Yao, Jen-Chih
Fixed point theorems and weak convergence theorems for generalized hybrid mappings in Hilbert spaces. (English)
[J] Taiwanese J. Math. 14, No. 6, 2497-2511 (2010). ISSN 1027-5487

Summary: We first consider a broad class of nonlinear mappings containing the classes of nonexpansive mappings, nonspreading mappings, and hybrid mappings in a Hilbert space. Then, we deal with fixed point theorems and weak convergence theorems for these nonlinear mappings in a Hilbert space.

MSC 2000:: *47H09 Mappings defined by "shrinking" properties
47J25 Methods for solving nonlinear operator equations (general)
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47H05 Monotone operators (with respect to duality)
47H25

Keywords: nonexpansive mappings; nonspreading mappings; hybrid mappings; Hilbert space; weak convergence; mean convergence

Cited in: Zbl 1260.47055 Zbl 1230.47085

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