Báo cáo hóa học: " APPROXIMATING COMMON FIXED POINTS OF TWO ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES" doc

... convex Banach space. In [6], Khan and Takahashi studied 10 Approximating common fixed points [6] S. H. Khan and W. Takahashi, Approximating common fixed points of two asymptotically nonex- pansive mappings, ... sequences involving two uniformly continuous asymptotically quasi-nonexpansive mappings to a common fixed point of the mappings defined on a nonempty c...

Ngày tải lên: 22/06/2014, 22:20

... for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces You Xian Tian, 1 Shih-sen Chang, 2 Jialin Huang, 2 Xiongrui Wang, 2 andJ.K.Kim 3 1 College of Mathematics ... introduced. By using the iterative process, some strong convergence theorems to approximating a common fixed point of strictly asymptotically pseudocontractive mapp...

Ngày tải lên: 21/06/2014, 23:20

... 2.12. In the following example, we give a broad class of ws-compact mappings which are not sequentially weakly continuous. 2 Fixed Point Theory and Applications all nonempty bounded subsets of X ... continue the study of ws-compact mappings, investigate the boundary conditions, and establish new fixed point theorems. Specifically, we prove several fixed point theorems for ws-compact...

Ngày tải lên: 21/06/2014, 11:20

... consists of a single point, and the first level consists of 9 points arranged in a square, indexed as (i, j). The next level consists of 9 points listed as (  i,  j)where  i is the complement of ... the complement of the singleton set {i} in {1,2,3}. The fourth level of course again consists of a singleton. The edges from the point (i, j) terminate in the points (k...

Ngày tải lên: 22/06/2014, 22:20

... MAPPINGS IN BANACH SPACES SHIN-YA MATSUSHITA AND WATARU TAKAHASHI Received 29 October 2003 We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in ... Xu, Inequalities in Banach spaces with applications, Nonlinear Anal. 16 (1991), no. 12, 1127–1138. Shin-ya Matsushita: Department of Mathematical and Computing Sciences, Tokyo In...

Ngày tải lên: 23/06/2014, 00:20

... common fixed points of the multistep iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in a uniformly convex Banach space. The results presented in ... Theorem 3.4 of Plubtieng and Wangkeeree 2 from a asymptotically nonexpansive mappings in the intermediate sense to a finite family of asymptotically nonexpansive mapp...

Ngày tải lên: 22/06/2014, 02:20

... Tx). The set of all fixed points of f (respecively T) is denoted by F (f) (respecively F (T)). 2. A point x Î X is a coincidence point of f and T iff fx Î Tx. The set of all coincidence points of f and ... only for single- valued mappings but also for multi-valued mappings, and used it in the prove for the existence of a common fixed point theorems of Gregus type...

Ngày tải lên: 21/06/2014, 03:20

... 367–372, 1965. 7 F. E. Browder, Fixed- point theorems for noncompact mappings in Hilbert space,” Proceedings of the National Academy of Sciences of the United States of America, vol. 53, no. 6, pp. ... “Nonexpansive nonlinear operators in a Banach s pace,” Proceedings of the National Academy of Sciences of the United States of America, vol. 54, no. 4, pp. 1041–1044,...

Ngày tải lên: 21/06/2014, 20:20

... lower semicontinuous. Then FixT /  ∅. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2009, Article ID 487161, 9 pages doi:10.1155/2009/487161 Research Article Fixed Points of ... w-contractive maps not involving the extended Hausdorff metric. Our results either generalize or improve a number of fixed point results including the corresponding results of...

Ngày tải lên: 22/06/2014, 11:20

... that since, in the fa1 case, all fixed points of f lie in C, then the fixed point sets of f and of πf C consist of the same points. Moreover, the fixed point index of each fixed point is the same ... x q contribute two copies of b to fb. We conclude that there are U fixed points remaining in C −{x 0 }. None of the remaining fixed points in C −{x 0 } are equivalen...

Ngày tải lên: 22/06/2014, 11:20