Attractive Points and Halpern’s Type Strong Convergence Theorems in Hilbert Spaces
نویسندگان
چکیده
In this paper, using the concept of attractive points of a nonlinear mapping, we obtain a strong convergence theorem of Halpern’s type [6] for a wide class of nonlinear mappings which contains nonexpansive mappings, nonspreading mappings and hybrid mappings in a Hilbert space. Using this result, we obtain well-known and new strong convergence theorems of Halpern’s typ in a Hilbert space. In particular, we solve a problem posed by Kurokawa and Takahashi [16].
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