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Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2065-11.pdf | 1.1 MB | Adobe PDF | View/Open |
| Title: | COMMON ACUTE POINTS AND CONVERGENCE THEOREMS FOR FAMILIES OF NONLINEAR MAPPINGS (Nonlinear Analysis and Convex Analysis) |
| Authors: | Atsushiba, Sachiko |
| Author's alias: | 厚芝, 幸子 |
| Keywords: | 47H09 47H10 Fixed point attractive point acute point iteration nonexpansive mapping nonexpansive semigroup strong convergence |
| Issue Date: | Apr-2018 |
| Publisher: | 京都大学数理解析研究所 |
| Journal title: | 数理解析研究所講究録 = RIMS Kokyuroku |
| Volume: | 2065 |
| Start page: | 100 |
| End page: | 110 |
| Abstract: | In this paper, we prove an attractive points theorem and strong convergence theorems of Halpern's type [21] for uniformly asymptotically regular $lambda$-hybrid mappings in a star-shaped subset of a Hilbert space. Using these results, we obtain a fixed point theorem and some strong convergence theorems. Further, we prove convergence theorems by using the concept of acute points of nonlinear mappings. |
| URI: | http://hdl.handle.net/2433/241909 |
| Appears in Collections: | 2065 Nonlinear Analysis and Convex Analysis |
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