Báo cáo hóa học: "Research Article Block Iterative Methods for a Finite Family of Relatively Nonexpansive Mappings in Banach Spaces" docx

... obtain an analogous result for a finite family of relatively nonexpansive mappings in Banach spaces. This notion was originally intro- duced by Butnariu et al. [11]. Recently, Matsushita and Takahashi ... of a finite family of nonexpansive mappings in Banach spaces. Let C beanonemptyclosedconvexsubsetofaBanachspaceE and let {T i } m i =1 be a finite family...

Ngày tải lên: 22/06/2014, 22:20

... respectively. References [1] G. Marino and H K. Xu, A general iterative method for nonexpansive mappings in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol. 318, no. 1, pp. ... Proceedings of the American Mathematical So- ciety, vol. 4, no. 3, pp. 506–510, 1953. [4] S. Reich, “Weak convergence theorems for nonexpansive mappings in Banach spaces...

Ngày tải lên: 22/06/2014, 19:20

... lim n →∞ a n  0. To deal with a family of mappings, the following conditions are introduced. Let K be a subset of a real Banach space E,andlet{T n } be a family of mappings of K such that  ∞ n1 FT n  /  ... and M. Toyoda, “Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space,” Nonlinear Analys...

Ngày tải lên: 21/06/2014, 11:20

... Press, Cluj-Napoca, Romania, 2001. 7 A. Amini, M. Fakhar, and J. Zafarani, “Fixed point theorems for the class S-KKM mappings in abstract convex spaces,” Nonlinear Analysis: Theory, Methods & Applications, ... theorem,” Mathematische Annalen, vol. 142, pp. 305–310, 1961. 3 A. Amini, M. Fakhar, and J. Zafarani, “KKM mappings in metric spaces,” Nonlinear Analysis: Theory,...

Ngày tải lên: 22/06/2014, 11:20

... General Variational Inclusions Muhammad Aslam Noor, 1, 2 Khalida Inayat Noor, 1 and Eisa Al-Said 2 1 Mathematics Department, COMSATS Institute of Information Technology, Islamabad 44000, Pakistan 2 Mathematics ... system of variational inclusions/inequalities arise in applications to variational problems and engineering, see; for example, 1–31. Variational inclusions/inequalities ca...

Ngày tải lên: 21/06/2014, 06:20

... 3.61 Journal of Inequalities and Applications 25 16 Y. Yao and J C. Yao, “On modified iterative method for nonexpansive mappings and monotone mappings, ” Applied Mathematics and Computation, vol. ... element of the set of fixed points of nonexpansive mappings and t he set of solution of variational inequalities f or α-cocoercive map, Takahashi and Toyoda 13 introd...

Ngày tải lên: 21/06/2014, 07:20

... Kimura, W. Takahashi, and M. Toyoda, “Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space,” Nonlinear Analysis: Theory, Methods & Applications, ... Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces Rabian Wangkeeree and Uthai Kamraksa Department of Mathe...

Ngày tải lên: 21/06/2014, 11:20

... of Single-valued and Multivalued Nonexpansive Mappings in Banach Spaces K. Sokhuma 1 and A. Kaewkhao 2 1 Department of Mathematics, Faculty of Science, Burapha University, Chonburi 20131, Thailand 2 Department ... asymptotically nonexpansive mappings, ” Bulletin of the Australian Mathematical Society, vol. 43, no. 1, pp. 153–159, 1991. 3 F. E. Browder, “Semicontractive a...

Ngày tải lên: 21/06/2014, 11:20

... Point Theory and Applications 14 S. Takahashi and W. Takahashi, “Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis ... Nonlinear Functional Analysis, Fixed Point Theory and Its Applications, Yokohama, Yokohama, Japan, 2000. 9 S. D. Fl ˚ am and A. S. Antipin, “Equilibrium programming using proximal...

Ngày tải lên: 21/06/2014, 20:20

... 2007. 23 F. Kohsaka and W. Takahashi, Block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces,” Fixed Point Theory and Applications, vol. 2007, Article ID ... 18 pages, 2007. 24 M. Kikkawa and W. Takahashi, “Approximating fixed points of nonexpansive mappings by the block iterative method in Banach spaces,” Inte...

Ngày tải lên: 21/06/2014, 23:20