Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
A CONVERGENCE THEOREM OF COMMON FIXED POINTS FOR A COUNTABLY INFINITE FAMILY OF NONEXPANSIVE OPERATORS
- Authors
- Cho, Sun Young
- Issue Date
- Jan-2026
- Publisher
- Yokohama Publishers
- Keywords
- Fixed point; Krasnoserskii-Mann iteration; nonexpansive operators
- Citation
- Journal of Nonlinear and Convex Analysis, v.27, no.1, pp 73 - 82
- Pages
- 10
- Indexed
- SCIE
- Journal Title
- Journal of Nonlinear and Convex Analysis
- Volume
- 27
- Number
- 1
- Start Page
- 73
- End Page
- 82
- ISSN
- 1345-4773
1880-5221
- Abstract
- Krasnosel'skii-Mann algorithm is efficient to investigate various nonlinear optimization problems. It is known that the Krasnosel'skii-Mann algorithm is not convergent in infinite dimensional spaces without addition assumptions. In this paper, a modified Krasnosel'skiI-Mann algorithm is presented. A convergence theorem of common fixed points for a countably infinite family of nonexpansive operators is obtained in the framework of smooth Banach spaces without compact assumptions.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - ETC > Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.