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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-77950847471&partnerID=40&md5=a217a47cccc023068fac393beec38cdf http://cmuir.cmu.ac.th/handle/6653943832/6366 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | 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. |
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