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An Iteration Process for Nonexpansive Mappings with Applications to Fixed Point Theory in Product Spaces
| Content Provider | Scilit |
|---|---|
| Author | Kirk, W. A. |
| Copyright Year | 1989 |
| Description | A uniform transfinite iteration procedure for selecting fixed points of nonexpansive mappings is introduced. This procedure, which applies to arbitrary nonexpansive mappings in Banach spaces having Kadec-Klee norm and to strictly contractive mappings in reflexive Banach spaces, is used to generalize a fixed point theorem of Kirk and Sternfeld for nonexpansive mappings in product spaces. |
| Related Links | https://www.ams.org/proc/1989-107-02/S0002-9939-1989-0941325-6/S0002-9939-1989-0941325-6.pdf |
| Ending Page | 415 |
| Page Count | 5 |
| Starting Page | 411 |
| ISSN | 00029939 |
| e-ISSN | 10886826 |
| DOI | 10.2307/2047831 |
| Journal | Proceedings of the American Mathematical Society |
| Issue Number | 2 |
| Volume Number | 107 |
| Language | English |
| Publisher | Duke University Press |
| Publisher Date | 1989-10-01 |
| Access Restriction | Open |
| Subject Keyword | Logic Fixed Points Nonexpansive Mappings Iteration Procedure Banach Kirk Contractive Theorem Uniform |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |