Báo cáo hóa học: " WEAK AND STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES SACHIKO ATSUSHIBA AND WATARU TAKAHASHI " doc

... 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

... 2005. 5 W. Takahashi, Y. Takeuchi, and R. Kubota, Strong convergence theorems by hybrid methods for fam- ilies of nonexpansive mappings in Hilbert spaces, ” Journal of Mathematical Analysis and Applications, vol. ... He and R. Chen, Strong convergence theorems of the CQ method for nonexpansive semigroups, ” Fixed Point Theory and Applications, vol. 2007, Artic...

Ngày tải lên: 21/06/2014, 22:20

... fixed points of a nonexpansive mapping on a real Hilbert space H: min x∈C 1 2 Ax, x−x, b, (1:7) where C is the fixed point set of a nonexpansive mapping T on H and b is a given point in H. In ... and Preechasilp: The modified general iterative methods for nonexpansive semigroups in banach spaces † . Fixed Point Theory and Applications 2011 2011:76. Wangkeeree an...

Ngày tải lên: 20/06/2014, 22:20

... Tianjin Natural Science Foundation in China Grant no. 06YFJMJC12500. 2 Fixed Point Theory and Applications for fixed points of nonexpansive mapping T in Banach space and also prove weak and strong convergence ... study weak and strong convergence theorems for common fixed points of a finite family of nonexpansive mappings {T i } N i1 in Banach spaces....

Ngày tải lên: 22/06/2014, 06:20

... iteration and the modified Ishikawa iteration, Zhou 3 obtained some weak and strong convergence theorems for λ-strict pseudocontractions in Hilbert spaces which extend the corresponding results in ... following four aspects: 1 in contrast to weak convergence results in 2–4 ,strong convergence theorems of the modified Mann iterative sequence are obtained i...

Ngày tải lên: 21/06/2014, 11:20

... Genel and J. Lindenstrauss, “An example concerning fixed points,” Israel Journal of Mathematics, vol. 22, no. 1, pp. 81–86, 1975. 7 K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive ... 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 hybrid m...

Ngày tải lên: 21/06/2014, 20:20

...  3andT 1  T 2  T 3  T in Theorem 3.4, we obtain strong convergence theorem for Noor iteration scheme with error for asymptotically nonexpansive mapping T in the intermediate sense in Banach ... establish strong convergence theorem for multi-step iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in Banach spac...

Ngày tải lên: 22/06/2014, 02:20

... Reich, Weak convergence theorems for nonexpansive mappings in Banach spaces, ” Journal of Mathematical Analysis and Applications, vol. 67, no. 2, pp. 274–276, 1979. [5] T H. Kim and H K. Xu, Strong ... certain control conditions for modified Mann iteration,” to appear in Nonlinear Analysis: Theory, Methods & Applications . [7] W. Takahashi and K. Shimoji, Converg...

Ngày tải lên: 22/06/2014, 19:20

... Shioji and W. Takahashi, Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces, ” Nonlinear Analysis, vol. 34, no. 1, pp. 87–99, 1998. [3] T. Suzuki, “On strong convergence ... 8 pages, 2007. [9] K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, ” Journal of Ma...

Ngày tải lên: 22/06/2014, 19:20

... easily obtain hybrid methods introduced by Nakajo and Takahashi 3 for a nonexpansive mapping. Recently, Takahashi et al. 4 proposed a shrinking projection method for nonexpan- sive mappings T n : ... 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 shrinkin...

Ngày tải lên: 21/06/2014, 05:20