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Iterative sequences with mixed errors for asymptotically quasi-nonexpansive type mappings in Banach spaces |
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| Authors: | S. S. Chang Y. J. Cho Y. Y. Zhou |
| Affiliation: | (1) Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China;(2) The Research Institute of Natural Sciences, Department of Mathematics, College of Education, Gyeongsang National University, Chinju, 660-701, Korea;(3) Department of Mathematics, Yunnan Normal University, Kunming, 650092, China |
| Abstract: | The purpose of this paper is to study necessary and sufficient conditions for the Ishikawa iterative sequence with mixed errors of asymptotically quasi-nonexpansive type mappings in Banach spaces to converge to a fixed point in Banach spaces. The results presented in this paper complememt, improve and prefect the corresponding results of [1]–[4] and [7]–[9]. This revised version was published online in June 2006 with corrections to the Cover Date. |
| Keywords: | asymptotically nonexpansive mapping iterative sequence with mixed errors asymptotically nonexpansive type mapping asymptotically quasi-nonexpansive type mapping |
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