Research report, "Some convergence theorems for arrays of two average index of random elements in Banach spaces with integrable conditions on" pptx

... EV  mnij . Observe that for each i and j, x m  i  u m , y n  j  v n , then V ij = (V  mnij −b  mnij )+ (V  mnij − b  mnij ). And since A mnij and V ij are independent for each m, n, i, j ... 1} 13 th Note that (3.6) means {V ij  r ; i, j ∈ Z} is {E|A mnij | r }-uniformly integrable, and then by Corollary 1 with q = p/r, X ij = V ij  r and a mnij = E|A mnij | r we get u...

Ngày tải lên: 23/07/2014, 14:21

... improve Theorems 3.3and3.4 of Chidume- Shahzad 17 in the following senses: i from real uniformly smooth and uniformly convex Banach spaces to real uniformly convex Banach spaces with Fr ´ echet ... subsequence converging to 0, then 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 spac...

Ngày tải lên: 21/06/2014, 11:20

... Foundation of China no. 70432001 and Shanghai Leading Academic Discipline Project B210. References 1 S. C. Bose, “Common fixed points of mappings in a uniformly convex Banach space,” Journal of ... are two uniformly quasi-Lipschitzian mappings in Banach space. Since Theorem 1.6 also holds in Banach spaces, we can prove that there exists a p ∈ F such that lim n →∞ x...

Ngày tải lên: 21/06/2014, 20:20

... strong convergence theorem for common fixed points of the multistep iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in a uniformly convex Banach ... 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 intermed...

Ngày tải lên: 22/06/2014, 02:20

... “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 convergence ... therein). A typical prob- lem is to minimize a quadratic function over the set of the fixed points of a nonexpansive mapping on a real Hilbert space H: min x∈C 1 2 Ax,...

Ngày tải lên: 22/06/2014, 19:20

... Thailand Full list of author information is available at the end of the article Abstract A new general iterative method for finding a common element of the set of solutions of variational inequality ... countable family of nonexpansive mappings and a solution of variational inequality of an inverse strongly monotone mapping are established. Moreover, we apply our main result...

Ngày tải lên: 21/06/2014, 00:20

... results in the following four aspects: 1 in contrast to weak convergence results in 2–4,strong convergence theorems of the modified Mann iterative sequence are obtained in p-uniformly convex Banach ... 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, Zheji...

Ngày tải lên: 21/06/2014, 11:20

... by 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 method in a Hilbert space ... 2006. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2009, Article ID 962303, 7 pages doi:10.1155/2009/962303 Research Article Strong Convergence Theorems...

Ngày tải lên: 21/06/2014, 20:20

... “Strong convergence theorems by hybrid methods for fam- ilies of nonexpansive mappings in Hilbert spaces, ” Journal of Mathematical Analysis and Applications, vol. 341, no. 1, pp. 276–286, 2007. Hindawi ... recently proved a strong convergence theorem for nonexpansive semigroups in Hilbert spaces by hy- brid method in the mathematical programming. However, their proof...

Ngày tải lên: 21/06/2014, 22:20

... mapping T if x ∈ Tx. We use the notation FixT standing for the set of fixed points of a mapping T and Fixt ∩ FixT standing for the set of common fixed points of t and T. Precisely, a point ... strong convergence theorem of a sequence from such process in a nonempty compact convex subset of a uniformly convex Banach space. 2. Preliminaries The important pr operty of...

Ngày tải lên: 21/06/2014, 11:20