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| File | Description | Size | Format | |
|---|---|---|---|---|
| 2190-18.pdf | 4.26 MB | Adobe PDF | View/Open |
| Title: | CONVERGENCE THEOREMS TO COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS IN HILBERT SPACES (Study on Nonlinear Analysis and Convex Analysis) |
| Authors: | KONDO, ATSUMASA |
| Author's alias: | 近藤, 豊将 |
| Keywords: | common fixed point nonexpansive mapping Mann's iteration Halpern's iteration |
| Issue Date: | Jul-2021 |
| Publisher: | 京都大学数理解析研究所 |
| Journal title: | 数理解析研究所講究録 |
| Volume: | 2190 |
| Start page: | 134 |
| End page: | 142 |
| Abstract: | In this article, we present methods for finding common fixed points of nonexpansive mappings. First, Mann type weak convergence theorems are proved. As a corollary, we obtain an alternative method to Mann's type iteration for finding a fixed point of a nonexpansive mapping. Also, a strong convergence theorem of Halpern type iterations is presented. The results base on those of Kondo and Takahashi [6]. |
| URI: | http://hdl.handle.net/2433/265665 |
| Appears in Collections: | Study on Nonlinear Analysis and Convex Analysis |
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