Strong convergence of modified Noor iterations
نویسندگان
چکیده
منابع مشابه
Strong convergence of modified Noor iterations
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 :...
متن کاملStrong convergence of modified noor iteration in CAT(0) spaces
We prove a strong convergence theorem for the modified Noor iterations in the framework of CAT(0) spaces. Our results extend and improve the corresponding results of X. Qin, Y. Su and M. Shang, T. H. Kim and H. K. Xu and S. Saejung and some others.
متن کاملstrong convergence of modified noor iteration in cat(0) spaces
we prove a strong convergence theorem for the modified noor iterations in the framework of cat(0) spaces. our results extend and improve the corresponding results of x. qin, y. su and m. shang, t. h. kim and h. k. xu and s. saejung and some others.
متن کاملStrong Convergence of Modified Mann Iterations for Lipschitz Pseudocontractions
In this paper, for a Lipschitz pseudocontractive mapping T, we study the strong convergence of the iterative scheme generated by ( ) (( ) ) , 1 1 1 n n n n n n n Tx u x x β + β − α + α − = + when { } { } n n α β , satisfy ( ) ; 0 lim i = α ∞ → n n ( ) ; ii 1 ∞ = α ∑ ∞ = n n ( ) . 0 lim iii = β ∞ → n n JING HAN and YISHENG SONG 148
متن کاملStrong 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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2006
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms/2006/21073