Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces |
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Authors: | Yu Kurokawa |
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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 |
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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. |
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Keywords: | primary 47A35 47J05 47J25 |
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