On △-convergence theorems in CAT(0) spaces
By using the concept of △-convergence introduced by Lim [T.C. Lim, Remarks on some fixed point theorems, Proc. Amer. Math. Soc. 60 (1976) 179-182], we are able to give the CAT(0) space analogs of results on weak convergence of the Picard, Mann and Ishikawa iterates proved in uniformly convex Banach...
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th-cmuir.6653943832-54532014-08-30T02:56:33Z On △-convergence theorems in CAT(0) spaces Dhompongsa S. Panyanak B. By using the concept of △-convergence introduced by Lim [T.C. Lim, Remarks on some fixed point theorems, Proc. Amer. Math. Soc. 60 (1976) 179-182], we are able to give the CAT(0) space analogs of results on weak convergence of the Picard, Mann and Ishikawa iterates proved in uniformly convex Banach spaces by Opial [Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967) 591-597], Ishikawa [S. Ishikawa, Fixed points and iteration of a nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc. 59 (1976) 65-71] and Tan and Xu [K.K. Tan, H.K. Xu, Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl. 178 (1993) 301-308]. © 2008 Elsevier Ltd. All rights reserved. 2014-08-30T02:56:33Z 2014-08-30T02:56:33Z 2008 Article 08981221 10.1016/j.camwa.2008.05.036 CMAPD http://www.scopus.com/inward/record.url?eid=2-s2.0-53049107577&partnerID=40&md5=5e0b63de4130bcd6f2691f1d4ab3ab60 http://cmuir.cmu.ac.th/handle/6653943832/5453 English |
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By using the concept of △-convergence introduced by Lim [T.C. Lim, Remarks on some fixed point theorems, Proc. Amer. Math. Soc. 60 (1976) 179-182], we are able to give the CAT(0) space analogs of results on weak convergence of the Picard, Mann and Ishikawa iterates proved in uniformly convex Banach spaces by Opial [Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967) 591-597], Ishikawa [S. Ishikawa, Fixed points and iteration of a nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc. 59 (1976) 65-71] and Tan and Xu [K.K. Tan, H.K. Xu, Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl. 178 (1993) 301-308]. © 2008 Elsevier Ltd. All rights reserved. |
| format |
Article |
| author |
Dhompongsa S. Panyanak B. |
| spellingShingle |
Dhompongsa S. Panyanak B. On △-convergence theorems in CAT(0) spaces |
| author_facet |
Dhompongsa S. Panyanak B. |
| author_sort |
Dhompongsa S. |
| title |
On △-convergence theorems in CAT(0) spaces |
| title_short |
On △-convergence theorems in CAT(0) spaces |
| title_full |
On △-convergence theorems in CAT(0) spaces |
| title_fullStr |
On △-convergence theorems in CAT(0) spaces |
| title_full_unstemmed |
On △-convergence theorems in CAT(0) spaces |
| title_sort |
on △-convergence theorems in cat(0) spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-53049107577&partnerID=40&md5=5e0b63de4130bcd6f2691f1d4ab3ab60 http://cmuir.cmu.ac.th/handle/6653943832/5453 |
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1681420428514426880 |