Báo cáo hóa học: " Research Article Strong Convergence of an Implicit Algorithm in CAT(0) Spaces" pdf

... Various algorithms and their strong convergence play an important role in finding a common element of the set of fixed common fixed point for different classes of mappings and the set of solutions of ... points of X are joined by a rectifiable path i.e., a path of finite length, and the distance between any two points of X is taken to be the in mum of the lengths o...

Ngày tải lên: 21/06/2014, 07:20

... convex if Y includes every geodesic segment joining any two of its points. A geodesic triangle Δx 1 ,x 2 ,x 3  in a geodesic metric space X, d consists of three points x 1 ,x 2 , and x 3 in X the ... Iterations in CAT(0) Spaces A. Cuntavepanit 1 and B. Panyanak 1, 2 1 Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand 2 Materi...

Ngày tải lên: 21/06/2014, 07:20

... distribution, and reproduction in any medium, provided the original work is properly cited. We introduce an iterative algorithm for finding a common element of the set of solutions of an in nite family of ... of nonexpansive mappings of H into itself, be {G n } : C × C → R be an in nite family of bifunctions, and be {A n } : C → H be an in nite f amily of k n -in...

Ngày tải lên: 21/06/2014, 11:20

... Strict Pseudocontractions in Uniformly Convex Banach Spaces Liang-Gen Hu, 1 Wei-Wei Lin, 2 and Jin-Ping Wang 1 1 Department of Mathematics, Ningbo University, Zhejiang 315211, China 2 School of Computer Science and ... pseudo-contractions in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol. 343, no. 1, pp. 546–556, 2008. 4 L G. Hu and J P. Wang, “Mann iterat...

Ngày tải lên: 21/06/2014, 11:20

... pages doi:10.1155/2009/491583 Research Article Strong Convergence of a New Iteration for a Finite Family of Accretive Operators Liang-Gen Hu and Jin-Ping Wang Department of Mathematics, Ningbo University, Zhejiang 315211, ... retraction of E if there exists a sunny nonexpansive retraction of E onto C, and it is said to be a nonexpansive retraction of E if there exists a no...

Ngày tải lên: 21/06/2014, 20:20

... subset K of 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 ... “Quasi-Fej ´ erian analysis of some optimization algorithms,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, vol. 8, pp. 115–152, North-Hollan...

Ngày tải lên: 21/06/2014, 05:20

... is very interesting as it is connected with the fixed point problem for nonlinear mapping and the problem o f finding a zero point of an accretive operator in Banach spaces, see 9–11 and the ... pages doi:10.1155/2010/246808 Research Article Strong Convergence Theorem for a New General System of Variational Inequalities in Banach Spaces S. Imnang 1, 2 and S. Suantai 2, 3 1 D...

Ngày tải lên: 21/06/2014, 07:20

... the ongoing research in this field, in this paper we suggest and analyze an iterative scheme for finding a common element of the set of fixed point of in nitely nonexpansive mappings, the set of solutions ... for finding a common element of EPΘ and the set of fixed points of nonexpansive mappings. Furthermore,Yao et al. 8, 10 introduced an iterative scheme for finding a...

Ngày tải lên: 21/06/2014, 10:20

... K. Nakajo, K. Shimoji, and W. Takahashi, Strong convergence to common fixed points of families of nonexpansive mappings in Banach spaces,” Journal of Nonlinear and Convex Analysis, vol. 8, no. ... asymptotically nonexpansive mappings and semigroups in a Hilbert space, and to prove strong convergence theorems. Our results presented are improvement and extension of the corresp...

Ngày tải lên: 21/06/2014, 11:20

... fixed points of nonexpansive mappings in Banach spaces,” Journal of Mathematical Analysis and Applications, vol. 302, no. 2, pp. 509–520, 2005. 16 S Y. Matsushita and W. Takahashi, Strong convergence ... results unify many recent results including the results in 12, 17, 22. iii It is worth noting that we obtained two strong convergence results concerning an in nite coun...

Ngày tải lên: 21/06/2014, 11:20