Convergence theorems of modified Mann iterations

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Strong 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 کامل

On Equivalence between Convergence of Ishikawa––mann and Noor Iterations

In this paper, we prove the equivalence of convergence between the Mann–Ishikawa– Noor and multistep iterations for Φ− strongly pseudocontractive and Φ− strongly accretive type operators in an arbitrary Banach spaces. Results proved in this paper represent an extension and refinement of the previously known results in this area. Mathematics subject classification (2010): 47H09, 47H10, 47H15.

متن کامل

Strong Convergence Theorems of Modified Mann Iterative Process for Nonexpansive Mappings in Hilbert Spaces

The purpose of this article is to modify normal Mann’s iterative process to have strong convergence for nonexpansive mappings in the formework of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the fixed point of nonexpansive mappings which is the unique solution of a variational inequality, which is also the optimality condition for a minimization problem.

متن کامل

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 کامل

Strong convergence theorems by Halpern-Mann iterations for multi-valued relatively nonexpansive mappings in Banach spaces with applications

* Correspondence: changss@yahoo. cn College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China Full list of author information is available at the end of the article Abstract In this article, an iterative sequence for relatively nonexpansive multi-valued mapping by modifying Halpern and Mann’s iterations is introduced, and then some strong c...

متن کامل

ذخیره 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: Fixed Point Theory and Applications

سال: 2013

ISSN: 1687-1812

DOI: 10.1186/1687-1812-2013-282