Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 21 Issue 3
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- Pages.293-299
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- 2008
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
STRONG CONVERGENCE THEOREM FOR UNIFORMLY L-LIPSCHITZIAN MAPPINGS IN BANACH SPACES
- Qin, Xiaolong (Department of Mathematics Gyeongsang National University) ;
- Kang, Shin Min (Department of Mathematics and the RINS Gyeongsang National University) ;
- Shang, Meijuan (Department of Mathematics Shijiazhuang University)
- Received : 2007.11.18
- Accepted : 2008.05.20
- Published : 2008.09.30
Abstract
In this paper, we prove strong convergence theorems for a finite family of uniformly L-Lipschitzian mappings by a cyclic iterative algorithm in the framework of Banach spaces. Our results improve and extend the recent ones announced by many others.
Keywords
- asymptotically pseudo-contractive mapping;
- normalized duality mapping;
- uniformly L-Lipschitzian mapping;
- Banach space