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Stochastic Analysis and Applications Volume 23, 2005 - Issue 1
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Original Articles

Random Ishikawa Iterative Sequence with Applications

S.S. Chang Department of Mathematics, Yibin University, Yibin, Sichuan; Sichuan University, Chengdu, Sichuan, P. R. China
,
Y.J. Cho Department of Mathematics Education, Research Institute of Natural Sciences, Gyeongsang National University, Chinju, Korea
,
J.K. Kim Department of Mathematics, Kyungnam University, Masan, Korea
&
H.Y. Zhou Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, P. R. China
Pages 69-77 | Received 07 Mar 2003, Accepted 23 Sep 2003, Published online: 01 Sep 2006
 
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Abstract

The purpose of this paper is to construct a random Ishikawa iterative sequence for random strongly pseudo-contractive operator T in separable Banach spaces and to study that under suitable conditions this random iterative sequence converges to a random fixed point to T.

Mathematics Subject Classification:

ACKNOWLEDGMENT

The second author was supported financially from the Korea Research Foundation Grant (KRF-2001-005-D00002) and the third author was supported from the Kyungnam University Research Fund 2003.

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