East Asian mathematical journal
- Volume 24 Issue 4
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- Pages.339-345
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- 2008
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
ON THE EQUIVALENCE PROBLEMS FOR THE CONVERGENCE OF ITERATIVE SEQUENCES FOR SET-VALUED CONTRACTION MAPPINGS IN BANACH SPACES
- Park, Kwang-Pak (DEPARTMENT OF MATHEMATICS, KYUNGNAM UNIVERSITY) ;
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Kim, Kyung-Soo
(DEPARTMENT OF MATHEMATICS, KYUNGNAM UNIVERSITY)
- Published : 2008.09.30
Abstract
Some equivalence conditions for the convergence of iterative sequences for set-valued contraction mapping in Banach spaces are obtained.
Keywords
- Set-valued contraction mapping;
- Picard iteration;
- Mann iteration;
- Ishikawa iteration with perturbed errors;
- three-step iteration with perturbed errors;
- fixed point