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CQ Method for Strictly Pseudo-Contractive Mapping
Authors:HUANG Jia-lin  CHEN Shi-qun
Affiliation:1. Department of Mathematics, Yibin University, Yibin 644007, China
2. School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
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).
Keywords:k-Strictly pseudo-contractive mapping  CQ method  Metric projection
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