Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
<p>Abstract</p> <p>We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a <inline-formula> <graphic file="1687-1812-2010-268780-i1.gif"/></inline-formula>-convergence theorem of the Kras...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/268780 |
| id |
doaj-f7ef442831444fd7b8749c99c771daa4 |
|---|---|
| record_format |
Article |
| spelling |
doaj-f7ef442831444fd7b8749c99c771daa42020-11-25T01:01:40ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101268780Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) SpacesNanjaras BPanyanak B<p>Abstract</p> <p>We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a <inline-formula> <graphic file="1687-1812-2010-268780-i1.gif"/></inline-formula>-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.</p>http://www.fixedpointtheoryandapplications.com/content/2010/268780 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nanjaras B Panyanak B |
| spellingShingle |
Nanjaras B Panyanak B Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces Fixed Point Theory and Applications |
| author_facet |
Nanjaras B Panyanak B |
| author_sort |
Nanjaras B |
| title |
Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces |
| title_short |
Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces |
| title_full |
Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces |
| title_fullStr |
Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces |
| title_full_unstemmed |
Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces |
| title_sort |
demiclosed principle for asymptotically nonexpansive mappings in cat(0) spaces |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2010-01-01 |
| description |
<p>Abstract</p> <p>We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a <inline-formula> <graphic file="1687-1812-2010-268780-i1.gif"/></inline-formula>-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.</p> |
| url |
http://www.fixedpointtheoryandapplications.com/content/2010/268780 |
| work_keys_str_mv |
AT nanjarasb demiclosedprincipleforasymptoticallynonexpansivemappingsincat0spaces AT panyanakb demiclosedprincipleforasymptoticallynonexpansivemappingsincat0spaces |
| _version_ |
1715873932951683072 |