Strong convergence of modified Ishikawa iterations for nonlinear mappings
نویسندگان
چکیده
منابع مشابه
Strong convergence of modified Ishikawa iterations for nonlinear mappings
In this paper, we prove a strong convergence theorem of modified Ishikawa iterations for relatively asymptotically nonexpansive mappings in Banach space. Our results extend and improve the recent results by Nakajo, Takahashi, Kim, Xu, Mat-sushita and some others.
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1 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand 2 Centre of Excellence in Mathematics, CHE, Si Ayuthaya Road, Bangkok 10400, Thailand 3 Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangmod, Bangkok 10140, Thailand 4 Department of Mathematics and Statistics, Faculty of Science and Agricu...
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A point x ∈ C is a fixed point of T provided Tx = x. Denote by F(T) the set of fixed points of T ; that is, F(T)= {x ∈ C : Tx = x}. It is assumed throughout the paper that T is a nonexpansive mapping such that F(T) =∅. One classical way to study nonexpansive mappings is to use contractions to approximate a nonexpansive mapping [1, 9]. More precisely, take t ∈ (0,1) and define a contraction Tt :...
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ژورنال
عنوان ژورنال: Proceedings Mathematical Sciences
سال: 2007
ISSN: 0253-4142,0973-7685
DOI: 10.1007/s12044-007-0008-y