Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/88580
Title: | Fixed point property and approximation of a class of nonexpansive mappings | Authors: | Song, YS Huang, Y |
Issue Date: | 26-Mar-2014 | Source: | Fixed point theory and applications, Mar. 2014, 81, p. 1-11 | Abstract: | We introduce the concept of psi-firmly nonexpansive mapping, which includes a firmly nonexpansive mapping as a special case in a uniformly convex Banach space. It is shown that every bounded closed convex subset of a reflexive Banach space has the fixed point property for psi-firmly nonexpansive mappings, an important subclass of nonexpansive mappings. Furthermore, Picard iteration of this class of mappings weakly converges to a fixed point. | Keywords: | Psi-firmly nonexpansive mappings Fixed points Reflexive banach spaces Picard iteration |
Publisher: | Springer | Journal: | Fixed point theory and applications | ISSN: | 1687-1820 | EISSN: | 1687-1812 | DOI: | 10.1186/1687-1812-2014-81 | Rights: | Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The following publication Song, Y., Huang, Y. Fixed point property and approximation of a class of nonexpansive mappings. Fixed Point Theory Appl 2014, 81 (2014) is available at https://dx.doi.org/10.1186/1687-1812-2014-81 |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Song_Fixed_Point_Property.pdf | 325.57 kB | Adobe PDF | View/Open |
Page views
42
Last Week
0
0
Last month
Citations as of Oct 13, 2024
Downloads
16
Citations as of Oct 13, 2024
SCOPUSTM
Citations
2
Citations as of Jun 21, 2024
WEB OF SCIENCETM
Citations
2
Citations as of Oct 17, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.