báo cáo hóa học:" Research Article Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense" potx

... 1, then the class of asymptotically pseudocontractive mappings in the intermediate sense is reduced to the class of asymptotically pseudocontrac- tive mappings. In this paper, we consider the ... new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermed...

Ngày tải lên: 21/06/2014, 18:20

... 2, we present the main theorems of this paper. In Section 3, the proofs of the main theorems in this paper are presented. 2. Main Theorems In this section, we will introduce the main results of ... series convergence theorem for sequence of martingale differences. Then, Qiu 14 extended the result of Wang and Yang in 2008. The purpose of this paper is to discuss f...

Ngày tải lên: 21/06/2014, 07:20

... pseudo-contractions defined on a closed and convex subset C of a real Hilbert space H. We consider the problem of finding a common element of fixed point set of these mappings and the solution set ... of Inequalities and Applications Volume 2010, Article ID 396080, 14 pages doi:10.1155/2010/396080 Research Article Convergence Theorems Concerning Hybrid Methods for Strict Pseudo...

Ngày tải lên: 21/06/2014, 07:20

... our mappings are the more general mappings a pair of asymptotically nonexpansive mappings , so our result extend and generalize the corresponding results in 1–4, 6. ii Since {x n } converges ... ≥ 1. 2. Main Results Now, we will prove the strong convergence of the iteration scheme 1.4 to the unique common fixed point of a pair of asymptotically nonexpansive mappi...

Ngày tải lên: 21/06/2014, 20:20

... 7 have introduced the concept of nonself asymptotically nonexpansive mappings, which is the generalization of asymptotically nonexpansive mappings. Similarly, the concept of nonself asymptotically ... Applications can also be defined as the generalization of asymptotically quasi-non-expansive mappings and nonself asymptotically nonexpansive mappings. These mappings a...

Ngày tải lên: 21/06/2014, 23:20

... appropriate conditions. Concerning a family of nonexpansive mappings it has been considered by many authors. The well-known convex feasibility problem reduces to finding a point in the intersection of the fixed ... iteration algorithm has only weak convergence, in general, even for nonexpansive mappings. Therefore, many authors try to modify normal Mann’s iteration process to have...

Ngày tải lên: 22/06/2014, 06:20

... inclusions involving A, η- monotone mappings in Hilbert spaces,” Fixed Point Theory and Applications, vol. 2007, Article ID 29653, 6 pages, 2007. 7 R. Chen, Y. Song, and H. Zhou, Convergence theorems ... On the convergence of strictly pseudo-contractive mappings in Banach spaces,” Journal of Prime Research in Mathematics, vol. 3, pp. 154–161, 2007. 11 X. Qin, Y. Su...

Ngày tải lên: 22/06/2014, 11:20

... Deduced Theorems Using Theorems 3.1, 3.2,and3.3, we can obtain many convergence theorems. We state some of them. We now discuss convergence theorems for families of nonexpansive mappings. Let ... interesting fixed point theorem which is one of generalizations of Theorem 1.1 because the weakly contractions contains contractions as the special cases ϕt1 − βt. Theorem 1.2 ...

Ngày tải lên: 21/06/2014, 20:20

... and Applications Theorem 2.5 below gives a necessary condition for convergence according to the spectral seminorm. This result is an extension of von Koch Theorem 4, concerning the scalar case. ... fractions In this section, we discuss some conditions upon the elements a n and b n of the vectorial continued fraction 1.1with b 0  0 which are necessary to ensure the conver...

Ngày tải lên: 22/06/2014, 03:20

... enforce the algorithm convergence under certain conditions [18]. The elitist strategy consists in maintaining the best individual from one generation to the next. T he variation operators used in ... of filters and the second one to set the filters amplitude. Splines for Optimizing the Frequency Position of the Filters. In this case the splines are monotonically increa...

Ngày tải lên: 21/06/2014, 07:20