Halpern's Iteration Process for Multiple Sets Split Common Fixed Point of Quasi-Nonexpansive Mappings
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- Lin, Lai-Jiu
- Department of Mathematics, National Changhua University of Education
書誌事項
- タイトル別名
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- Halpern's Iteration Process for Multiple Sets Split Common Fixed Point of Quasi-Nonexpansive Mappings (Study on Nonlinear Analysis and Convex Analysis)
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説明
In this paper, we consider iteration processes of Halpern's type to find fixed point of quasi-nonexpansive mapping and common element of solution for the split common fixed point of quasi-nonexpansive mappings. We establish strong convergence theorems of this problems. We apply our results to study the common element of solution of multiple split fixed point problems for quasi-nonexpansive mappings. We also apply our result to study common element of solution for the equilibrium problem and the fixed point of generalized hybrid mapping. Our result gives an partial answer to two open questions which were given by Chidume and Chidume [11], and Kurokawa and Takahashi[12].
収録刊行物
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- 数理解析研究所講究録
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数理解析研究所講究録 2112 27-40, 2019-04
京都大学数理解析研究所
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詳細情報 詳細情報について
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- CRID
- 1050566774764250240
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- NII論文ID
- 120006861583
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- NII書誌ID
- AN00061013
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- ISSN
- 18802818
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- HANDLE
- 2433/251986
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- NDL書誌ID
- 029909702
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB
- NDL
- CiNii Articles