Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces
The purpose of this paper is to study a new iterative scheme for a finite family of asymptotically nonexpansive mappings in the intermediate sense. Weak and strong convergence theorems for the iterative scheme in a uniformly convex Banach space are established under some conditions which are weaker...
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th-cmuir.6653943832-63662014-08-30T03:24:08Z Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces Imnang S. Suantai S. The purpose of this paper is to study a new iterative scheme for a finite family of asymptotically nonexpansive mappings in the intermediate sense. Weak and strong convergence theorems for the iterative scheme in a uniformly convex Banach space are established under some conditions which are weaker than demicompactness or completely continuous. Our results improve and generalize the recent known results in the literature. © 2010 Pleiades Publishing, Ltd. 2014-08-30T03:24:08Z 2014-08-30T03:24:08Z 2010 Article 19950802 10.1134/S199508021001004X http://www.scopus.com/inward/record.url?eid=2-s2.0-77950847471&partnerID=40&md5=a217a47cccc023068fac393beec38cdf http://cmuir.cmu.ac.th/handle/6653943832/6366 English |
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English |
| description |
The purpose of this paper is to study a new iterative scheme for a finite family of asymptotically nonexpansive mappings in the intermediate sense. Weak and strong convergence theorems for the iterative scheme in a uniformly convex Banach space are established under some conditions which are weaker than demicompactness or completely continuous. Our results improve and generalize the recent known results in the literature. © 2010 Pleiades Publishing, Ltd. |
| format |
Article |
| author |
Imnang S. Suantai S. |
| spellingShingle |
Imnang S. Suantai S. Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces |
| author_facet |
Imnang S. Suantai S. |
| author_sort |
Imnang S. |
| title |
Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces |
| title_short |
Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces |
| title_full |
Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces |
| title_fullStr |
Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces |
| title_full_unstemmed |
Weak and strong convergence theorems for a finite family of non-lipschitzian mappings in Banach spaces |
| title_sort |
weak and strong convergence theorems for a finite family of non-lipschitzian mappings in banach spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-77950847471&partnerID=40&md5=a217a47cccc023068fac393beec38cdf http://cmuir.cmu.ac.th/handle/6653943832/6366 |
| _version_ |
1681420600425316352 |