Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces
In this paper, we prove the fixed point property for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces by using the concept of asymptotic center. We also discuss some fixed point theorems in uniformly convex metric spaces. Our results can be applied to obtain the exi...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2014
|
| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-84885921309&partnerID=40&md5=9561032b710bc602d03b16146613fea7 http://cmuir.cmu.ac.th/handle/6653943832/7196 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| Language: | English |
| id |
th-cmuir.6653943832-7196 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-71962014-08-30T03:51:41Z Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces Phuengrattana W. Suantai S. In this paper, we prove the fixed point property for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces by using the concept of asymptotic center. We also discuss some fixed point theorems in uniformly convex metric spaces. Our results can be applied to obtain the existence of a fixed point of a generalized asymptotically nonexpansive mapping in both uniformly convex hyperbolic spaces and CAT(O) spaces. © Heldermann Verlag. 2014-08-30T03:51:41Z 2014-08-30T03:51:41Z 2013 Article 09446532 http://www.scopus.com/inward/record.url?eid=2-s2.0-84885921309&partnerID=40&md5=9561032b710bc602d03b16146613fea7 http://cmuir.cmu.ac.th/handle/6653943832/7196 English |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| language |
English |
| description |
In this paper, we prove the fixed point property for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces by using the concept of asymptotic center. We also discuss some fixed point theorems in uniformly convex metric spaces. Our results can be applied to obtain the existence of a fixed point of a generalized asymptotically nonexpansive mapping in both uniformly convex hyperbolic spaces and CAT(O) spaces. © Heldermann Verlag. |
| format |
Article |
| author |
Phuengrattana W. Suantai S. |
| spellingShingle |
Phuengrattana W. Suantai S. Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces |
| author_facet |
Phuengrattana W. Suantai S. |
| author_sort |
Phuengrattana W. |
| title |
Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces |
| title_short |
Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces |
| title_full |
Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces |
| title_fullStr |
Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces |
| title_full_unstemmed |
Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces |
| title_sort |
existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84885921309&partnerID=40&md5=9561032b710bc602d03b16146613fea7 http://cmuir.cmu.ac.th/handle/6653943832/7196 |
| _version_ |
1681420755282165760 |