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Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces
Authors:Yu Kurokawa
Affiliation:a Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro, Tokyo 152-8552, Japan
b Applied Mathematics, National Sun Yay-sen University, Taiwan
Abstract:In this paper, we first obtain a weak mean convergence theorem of Baillon’s type for nonspreading mappings in a Hilbert space. Further, using an idea of mean convergence, we prove a strong convergence theorem for nonspreading mappings in a Hilbert space.
Keywords:primary   47A35   47J05   47J25
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