Weak and Strong Mean Convergence Theorems for Super Hybrid Mappings in Hilbert Spaces
نویسندگان
چکیده
In this paper, we first introduce a class of nonlinear mappings called extended hybrid in a Hilbert space containing the class of generalized hybrid mappings. The class is different from the class of super hybrid mappings which was defined by Kocourek, Takahashi and Yao [12]. We prove a fixed point theorem for generalized hybrid nonself-mapping in a Hilbert space. Next, we prove a nonlinear ergodic theorem of Baillon’s type for super hybrid mappings in a Hilbert space. Finally, we deal with two strong convergence theorems of Halpern’s type for these nonlinear mappings in a Hilbert space.
منابع مشابه
Weak and Strong Convergence Theorems for Generalized Hybrid Mappings in Hilbert Spaces
In this paper, we first obtain a weak mean convergence theorem of Baillon’s type for generalized hybrid mappings in a Hilbert space. Further, using an idea of mean convergence, we prove a strong convergence theorem of Halpern’s type for generalized hybrid mappings in a Hilbert space.
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