Bull. Korean Math. Soc. 2006; 43(4): 847-860
Printed December 1, 2006
Copyright © The Korean Mathematical Society.
Jong Kyu Kim and Young Man Nam
Kyungnam University, Kyungnam University
In this paper, some new convergence theorems of the modified Ishikawa and Mann iterative sequences with errors for asymptotically set-valued pseudocontractive mappings in uniformly smooth Banach spaces are given.
Keywords: asymptotically nonexpansive mapping, asymptotically pseudocontractive mapping, asymptotically set-valued pseudocontractive mapping, modified Ishikawa iterative sequence with errors, modified Mann iterative sequence with errors, fixed point
MSC numbers: 47H05, 47H10, 47H15
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