Báo cáo hóa học: " Research Article Strong Convergence Theorems for Strict Pseudocontractions in Uniformly Convex Banach Spaces" pot

... establish strong convergence theorems of the modified Mann iteration scheme to λ -strict pseudocontractions in p -uniformly convex Banach spaces with a uniformly G ˆ ateaux differentiable norm. The main ... 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 obt...

Ngày tải lên: 21/06/2014, 11:20

... K. 1.6 2. Main Results In this section, we will introduce a shrinking projection method for the class of T mappings and prove strong convergence theorem. Theorem 2.1. Let T n ∈ T for each n such ... closed convex subset K of 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...

Ngày tải lên: 21/06/2014, 05:20

... fixed points of the mapping G.Nowwe prove the strong convergence theorem of algorithm 1.18 for solving problem 1.17. Theorem 3.4. Let C be a nonempty closed convex subset of a uniformly convex ... problem 1.12 is very interesting as it is connected with the fixed point problem for nonlinear mapping and the problem o f finding a zero point of an accretive operator in Banach...

Ngày tải lên: 21/06/2014, 07:20

... Ishikawa, and implicit iterates in uniformly convex Banach spaces, convex metric spaces and CAT0 spaces see, e.g., 5, 7–16. Using the concept of convexity in CAT0 spaces, a generalization ... Finf{dx, p : p ∈ F}. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 173621, 11 pages doi:10.1155/2011/173621 Research Article St...

Ngày tải lên: 21/06/2014, 07:20

... cited. We introduce a new iterative scheme with Meir-Keeler contractions for strict pseudocontractions in q -uniformly smooth Banach spaces. We also discuss the strong convergence theorems for the new ... for each x ∈ SE, the limit 1.1 is attained uniformly for y ∈ SE. The norm of E is said to be uniformly Fr ´ echet differentiable or uniformly smooth if th...

Ngày tải lên: 21/06/2014, 11:20

... is single-valued and strong- weak ∗ uniformly continuous on any bounded subset of E; ii each uniformly convex Banach space E is reflexive and strictly convex and has fixed point property for nonexpansive ... to p in p -uniformly convex Banach spaces. To be more precise, they obtained the following theorem. Theorem HW Let E be a real p -uniformly convex Banach space wh...

Ngày tải lên: 21/06/2014, 11:20

... extend and 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 ... pseudo-contractions in 2 -uniformly smooth Banach spaces,” Nonlinear Analysis, vol. 69, no. 9, pp. 3160–3173, 2008. 10 H. Zhang and Y. Su, Convergence theorems for...

Ngày tải lên: 21/06/2014, 11:20

... result by introducing a modified Halpern iteration in a Banach space as follows. Let C be a closed convex subset of a uniformly smooth Banach space X,andletT : C → C be a nonexpansive mapping. For any ... single-valued mapping defined on a bounded closed convex subset of a complete CAT0 space always has a fixed point. Since then, the fixed point theory for single-valued and mu...

Ngày tải lên: 21/06/2014, 07:20

... obtain some interesting strong convergence theorems. Setting T n x  x then we have W n x  x in Theorem 3.1, and we have the following result. Corollary 3.4. Let C be a nonempty closed convex ... P ∩ ∞ i1 FT i ∩VIA,C∩EPΘ u. Motivated by the ongoing research in this field, in this paper we suggest and analyze an iterative scheme for finding a common element of the set o...

Ngày tải lên: 21/06/2014, 10:20

... P C n ∩Q n  x 0  , 1.8 Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2010, Article ID 301868, 15 pages doi:10.1155/2010/301868 Research Article Strong Convergence to Common Fixed Points for ... “Fixed points of nonexpanding maps,” Bulletin of the American Mathematical Society, vol. 73, pp. 957–961, 1967. 3 K. Nakajo and W. Takahashi, Strong conv...

Ngày tải lên: 21/06/2014, 11:20