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MODIFIED MANN'S ALGORITHM BASED ON THE CQ METHOD FOR PSEUDO-CONTRACTIVE MAPPINGS
Yao, Yonghong,Zhou, Haiyun,Liou, Yeong-Cheng The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.5
IIn this paper, we suggest and analyze a modified Mann's algorithm based on the CQ method for pseudo-contractive mappings in Hilbert spaces. Further, we prove a strong convergence theorem according to the proposed algorithm for pseudo-contractive mappings.
Strong convergence theorems for infinite countable nonexpansive mappings and image recovery problem
Yonghong Yao,Yeong-Cheng Liou 대한수학회 2008 대한수학회지 Vol.45 No.6
In this paper, we introduce an iterative scheme given by infinite nonexpansive mappings in Banach spaces. We prove strong convergence theorems which are connected with the problem of image recovery. Our results enrich and complement the recent many results. In this paper, we introduce an iterative scheme given by infinite nonexpansive mappings in Banach spaces. We prove strong convergence theorems which are connected with the problem of image recovery. Our results enrich and complement the recent many results.
Yonghong Yao,Haiyun Zhou,Yeong-Cheng Liou 대한수학회 2009 대한수학회지 Vol.46 No.3
We introduce two iterative algorithms for finding a common element of the set of fixed points of an asymptotically k-strict pseudo-contraction and the set of solutions of a mixed equilibrium problem in a Hilbert space. We obtain some weak and strong convergence theorems by using the proposed iterative algorithms. Our results extend and improve the corresponding results of Tada and Takahashi [16] and Kim and Xu [8,9]. We introduce two iterative algorithms for finding a common element of the set of fixed points of an asymptotically k-strict pseudo-contraction and the set of solutions of a mixed equilibrium problem in a Hilbert space. We obtain some weak and strong convergence theorems by using the proposed iterative algorithms. Our results extend and improve the corresponding results of Tada and Takahashi [16] and Kim and Xu [8,9].
AN ITERATIVE ALGORITHM FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Yonghong Yao,Yeong-Cheng Liou,강신민 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.1
An iterative algorithm was been studied which can be viewed as an extension of the previously known algorithms for asymptotically nonexpansive mappings. Subsequently, we study the convergence problem of the proposed iterative algorithm for asymptotically nonexpansive mappings under some mild conditions in Banach spaces.
An Iterative Algorithm for a Hierarchical Problem
Yao, Yonghong,Cho, Yeol Je,Yang, Pei-Xia Hindawi Limited 2012 Journal of applied mathematics (JAM) Vol.2012 No.-
<P>A general hierarchical problem has been considered, and an explicit algorithm has been presented for solving this hierarchical problem. Also, it is shown that the suggested algorithm converges strongly to a solution of the hierarchical problem.</P>
STRONG CONVERGENCE OF A NEW ITERATIVE ALGORITHM FOR AVERAGED MAPPINGS IN HILBERT SPACES
Yao, Yonghong,Zhou, Haiyun,Chen, Rudong The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.3
Let H be a real Hilbert space. Let T : $H\;{\rightarrow}\;H$ be an averaged mapping with $F(T)\;{\neq}\;{\emptyset}$. Let {$\alpha_n$} be a real numbers in (0, 1). For given $x_0\;{\in}\;H$, let the sequence {$x_n$} be generated iteratively by $x_{n+1}\;=\;(1\;-\;{\alpha}_n)Tx_n$, $n\;{\geq}\;0$. Assume that the following control conditions hold: (i) $lim_{n{\rightarrow}{\infty}}\;{\alpha}_n\;=\;0$; (ii) $\sum^{\infty}_{n=0}\;{\alpha}_n\;=\;{\infty}$. Then {$x_n$} converges strongly to a fixed point of T.
MODIFIED MANN'S ALGORITHM BASED ON THE CQ METHOD FOR PSEUDO-CONTRACTIVE MAPPINGS
Yonghong Yao,Haiyun Zhou,Yeong-Cheng Liou 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.5
IIn this paper, we suggest and analyze a modified Mann's algorithm based on the CQ method for pseudo-contractive mappings in Hilbert spaces. Further, we prove a strong convergence theorem according to the proposed algorithm for pseudo-contractive mappings.