Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" pdf

... 2011:96 http://www.fixedpointtheoryandapplications.com/content/2011/1/96 Page 12 of 20 RESEARC H Open Access Weak and strong convergence theorems of implicit iteration process on Banach spaces Lai-Jiu Lin 1* , ... Lin et al.: Weak and strong convergence theorems of implicit iteration process on Banach spaces. Fixed Point Theory and Applications...

Ngày tải lên: 20/06/2014, 21:20

... consider weak convergence theorems of implicit iterative processes for two nonexpansive mappings and a mapping which satisfies condition (C). Next, we consider strong convergence theorem of an implicit- shrinking ... iterative process for two nonexpansive mappings and a relative nonexpansive mapping on Banach spaces. Note that the conditions of strong convergen...

Ngày tải lên: 20/06/2014, 21:20

... article as: Li and Jiang: Maximal and minimal point theorems and Caristi’s fixed point theorem. Fixed Point Theory and Applications 2011 2011:103. Li and Jiang Fixed Point Theory and Applications ... existence theorems of maximal and minimal points are established. By using them, some generalized Caristi’s fixed point theorems are proved, whic...

Ngày tải lên: 20/06/2014, 21:20

... H. Inspired by Bauschke and Combettes 1 and Takahashi et al. 4, we present a shrinking projection method for the class of T mappings. Furthermore, we obtain a shrinking projection method for a ... Point Theory and Applications Combettes 2, Bauschke, and Combettes 1 studied properties of the class T mappings and presented several algorithms. They introduced an abs...

Ngày tải lên: 21/06/2014, 05:20

... G. Cai and C. S. Hu, Strong convergence theorems of a general iterative process for a finite family of λ i -strict pseudo -contractions in q-uniformly smooth Banach spaces,” Computers & Mathematics ... 0. Fixed Point Theory and Applications 19 9 X. Qin and Y. Su, “Approximation of a zero point of accretive operator in Banach spaces,” Journal...

Ngày tải lên: 21/06/2014, 11:20

... Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces Rabian Wangkeeree and Uthai Kamraksa Department of Mathematics, Faculty of Science, Naresuan University, ... Kimura, W. Takahashi, and M. Toyoda, “Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space,” N...

Ngày tải lên: 21/06/2014, 11:20

... establish strong convergence theorems of the modified Mann iteration scheme to λ -strict pseudocontractions in p -uniformly convex Banach spaces with a uniformly G ˆ ateaux differentiable norm. The main ... in the following four aspects: 1 in contrast to weak convergence results in 2–4 ,strong convergence theorems of the modified Mann iterative sequence are obt...

Ngày tải lên: 21/06/2014, 11:20

... some strong convergence theorems for fixed points of modified Ishikawa and Halpern iterative processes for a countable family of hemi-relatively nonexpansive mappings in a uniformly convex and uniformly ... and Applications Volume 2009, Article ID 483497, 25 pages doi:10.1155/2009/483497 Research Article Strong Convergence Theorems of Modified Ishikawa Iterat...

Ngày tải lên: 21/06/2014, 20:20

... Applications Volume 2009, Article ID 962303, 7 pages doi:10.1155/2009/962303 Research Article Strong Convergence Theorems for In nitely Nonexpansive Mappings in Hilbert Space Yi-An Chen College of ... Anthony To Ming Lau We introduce a modified Ishikawa iterative process for approximating a fixed point of two in nitely nonexpansive self -mappings by using the...

Ngày tải lên: 21/06/2014, 20:20

... W. Takahashi, Y. Takeuchi, and R. Kubota, Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces,” Journal of Mathematical Analysis and Applications, ... “On a hybrid method for a family of relatively nonexpansive mappings in a Banach space,” Journal of Mathematical Analysis and Applications, vol. 357, no. 2, pp. 356–363,...

Ngày tải lên: 21/06/2014, 20:20

... Applications Volume 2008, Article ID 745010, 7 pages doi:10.1155/2008/745010 Research Article Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals Satit Saejung Department ... Chen, Strong convergence theorems of the CQ method for nonexpansive semigroups, ” Fixed Point Theory and Applications, vol. 2007, Article ID 59735, 8 page...

Ngày tải lên: 21/06/2014, 22:20

... show strong convergence theorems of the CQ method for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical programming. The results presented extend and improve the corresponding ... Applications Volume 2007, Article ID 59735, 8 pages doi:10.1155/2007/59735 Research Article Strong Convergence Theorems of the CQ Method...

Ngày tải lên: 22/06/2014, 19:20

... convergence theorems of the multistep iterative scheme with errors for a finite family of nonexpansive nonself-mappings. More precisely, we prove weak convergence of these implicit iteration WEAK AND STRONG CONVERGENCE ... with the study of a multistep iterative scheme with errors involving a finite family of nonexpansive nonself-mappings. We approximate th...

Ngày tải lên: 22/06/2014, 22:20

... introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized ... V  p,x n+1  , (3.25) WEAK AND STRONG CONVERGENCE THEOREMS FOR RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES SHIN-YA MATSUSHITA AND WATARU TA...

Ngày tải lên: 23/06/2014, 00:20

... CONVERGENCE THEOREMS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES SACHIKO ATSUSHIBA AND WATARU TAKAHASHI Received 24 February 2005 We introduce an implicit iterative process for a nonexpansive ... Strong convergence theorems for finite quasi -nonexpansive mappings, Comm. Appl. Nonlinear Anal. 9 (2002), no. 3, 57–68. [2] , Strong convergence theorems...

Ngày tải lên: 23/06/2014, 00:20