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http://dx.doi.org/10.7858/eamj.2012.28.3.287

ON CONVERGENCE THEOREMS OF ITERATIVE SCHEMES FOR PSEUDOCONTRACTIVE MAPPINGS  

Kim, Jong-Kyu (Department of Mathematics Education, Kyungnam University)
Rafiq, Arif (Hajvery University)
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Abstract
In this paper, we establish the strong convergence for the Mann iterative scheme associated with uniformly continuous pseudocontractive mappings in real Banach spaces. Moreover, our technique of proofs is of independent interest.
Keywords
Mann iterative scheme; uniformly continuous mappings; uniformly L-Lipschitzian mappings; pseudocontractive mappings; Banach spaces;
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