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Title: | ATTRACTIVE POINT AND CONVERGENCE THEOREMS FOR HYBRID-TYPE SEQUENCES (Study on Nonlinear Analysis and Convex Analysis) |
Authors: | Atsushiba, Sachiko |
Author's alias: | 厚芝, 幸子 |
Keywords: | 47H09 47H10 Fixed point iteration nonexpansive mapping nonexpansive semigroup hybridmapping generalized hybrid mapping strong convergence |
Issue Date: | Apr-2019 |
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: | 2112 |
Start page: | 46 |
End page: | 53 |
Abstract: | In this paper, we introduced a broad class of sequences which covers nonexpansive sequences, generalized hybrid sequences and 2-generalized hybrid sequences. Then, we get nonlinear ergodic theorems for the sequences by using the idea of attractive points. Furthermore, we get weak convergence theorems for weakly asymptotically regular sequences. |
URI: | http://hdl.handle.net/2433/251988 |
Appears in Collections: | 2112 Study on Nonlinear Analysis and Convex Analysis |

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