Abstract
We prove that under minimal conditions the modified Mann and Ishikawa iterations converge when dealing with an asymptotically pseudocontractive map. We give an affirmative answer to the open question from C.E. Chidume and H. Zegeye, Approximate fixed point sequences and convergence theorems for asymptotically pseudocontractive mappings, J. Math. Anal. Appl., 278 (2003), 354–366.
Authors
Stefan M. Soltuz
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
Keywords
Asymptotically hemicontractive map; Modified Mann; Modified Ishikawa iteration
Paper coordinates
Stefan M. Soltuz, The convergence of modified Mann-Ishikawa iterations when applied to an asymptotically pseudocontractive map, Austral. J. Math Anal. Appl., Volume 4, Issue 2, Article 16, pp. 1-8, 2007.
About this paper
Journal
The Australian Journal of Mathematical
Analysis and Applications
Publisher Name
Print ISSN
1449-5910
Online ISSN
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