Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a Δ-convergence theorem of the Krasnosel'skii-Mann iteration for asymptotically nonexpansive mappings in this setting. Our results extend and improve many results in the lite...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
Springer Publishing Company
2015
|
| Subjects: | |
| Online Access: | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=78149279876&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38586 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| Summary: | We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a Δ-convergence theorem of the Krasnosel'skii-Mann iteration for asymptotically nonexpansive mappings in this setting. Our results extend and improve many results in the literature. Copyright © 2010 B. Nanjaras and B. Panyanak. |
|---|