CQ Method for Strictly Pseudo-Contractive Mapping |
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Authors: | HUANG Jia-lin CHEN Shi-qun |
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Affiliation: | 1. Department of Mathematics, Yibin University, Yibin 644007, China 2. School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China |
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Abstract: | This paper obtains a strong convergence theorem for k-strictly pseudo-contractive mapping under the framework of Hilbert spaces using CQ method. Due to the fact that non-expansive mapping is only 0-strictly pseudo-contractive, the main result obtained in this paper extends the corresponding main result of Nakajo-Takahashi from non-expansive mapping to k-strictly pseudo-contractive one, where k∈[0,1). |
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Keywords: | k-Strictly pseudo-contractive mapping CQ method Metric projection |
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