East Asian mathematical journal
- Volume 19 Issue 1
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- Pages.103-111
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- 2003
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
CONVERGENCE THEOREMS OF MODIFIED ISHIKAWA ITERATIVE SEQUENCES WITH MIXED ERRORS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES
- Park, Kwang-Pak (Department of Mathematics Kyungnam University) ;
- Kim, Ki-Hong (Department of Mathematics Kyungnam University) ;
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Kim, Kyung-Soo
(Department of Mathematics Kyungnam University)
- Published : 2003.06.30
Abstract
In this paper, we will discuss some sufficient and necessary conditions for modified Ishikawa iterative sequence with mixed errors to converge to fixed points for asymptotically quasi-nonexpansive mappings in Banach spaces. The results presented in this paper extend, generalize and improve the corresponding results in Liu [4,5] and Ghosh-Debnath [2].
Keywords
- asymptotically quasi-nonexpansive;
- asymptotically nonexpansive;
- quasi-nonexpansive;
- modified Ishikawa iterative sequence with mixed errors;
- fixed point