Original scientific paper
Successive approximations for quasi-firmly type nonexpansive mappings
Yisheng Song
; College of Mathematics and Information Science Henan Normal University, XinXiang, HeNan, P.R. China
Qingchun Li
; College of Mathematics and Information Science Henan Normal University, XinXiang, HeNan, P.R. China
Abstract
In this paper, two examples of quasi-firmly type
nonexpansive mappings are given to prove that the concept is different from nonexpansive mapping. Furthermore, it is studied to the convergence of the sequence of successive approximations for this class of mappings only when the super limit of iteration coefficients is less than
Keywords
quasi-firmly type nonexpansive mappings; Ishikawa-type iteration; Krasnosel\-skii-Mann iteration
Hrčak ID:
68641
URI
Publication date:
10.6.2011.
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