Title of article
A necessary and sufficient condition for the strong convergence of Lipschitzian pseudocontractive mapping in Banach spaces
Author/Authors
Tang، نويسنده , , Yu-Chao and Peng، نويسنده , , Ji-Gen and Hu، نويسنده , , Liang-Gen and Liu، نويسنده , , Li-Wei، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
4
From page
1823
To page
1826
Abstract
The purpose of this paper is to establish some necessary and sufficient conditions for the strong convergence of the Ishikawa iterative sequence and the Mann iterative sequence to a fixed point of pseudocontractive mapping in Banach spaces. Our results, to some extent, improve and extend the well-known result of [S. Ishikawa, Fixed points by a new iteration method, Proc. Amer. Math. Soc. 44(1) (1974) 147–150.] to Banach spaces.
Keywords
Pseudocontractive mapping , Ishikawa iterative sequence , Mann iterative sequence
Journal title
Applied Mathematics Letters
Serial Year
2011
Journal title
Applied Mathematics Letters
Record number
1528086
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