Báo cáo hóa học: " Research Article Strong Convergence Theorems by Shrinking Projection Methods for Class T Mappings" pptx

... 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 shrinking projection method for a ... Point Theory and Applications Combettes 2, Bauschke, and Combettes 1 studied properties of the class T mappings and presented several algorithms. They introduced an abs...

Ngày tải lên: 21/06/2014, 05:20

... many results not cited here. On the other hand, in the last twenty years or so, there are many papers in the literature dealing with the iteration approximating fixed points of Lipschitz strongly ... 15 obtained strong convergence theorems on a mixed iteration scheme by the viscosity approximation methods for λ-strict pseudo-contractions in p- uniformly convex Banach spaces with...

Ngày tải lên: 21/06/2014, 11:20

... operator with coefficient γ>0. Assume that 0 <γ<γ. Then the sequence {x t } define by x t  t φx t 1 −tATx t converges strongly as t → 0 to a fixed point x of T which solves the variational ... bounded. To prove that x t → x  x ∈ F T  as t → 0. Since {x t } is bounded and E is reflexive, there exists a subsequence {x t n } of {x t } such that x t n x...

Ngày tải lên: 21/06/2014, 11:20

... different with ones of others. 4. Applications for Multiobjective Optimization Problem In this section, we study a kind of multiobjective optimization problem by using the result of this paper. That ... point of T. The set of fixed points of T is denoted by F T . It is well known that F T is closed convex and also nonempty if T has a bounded trajectory see 1. 2 Fixed Point Theory...

Ngày tải lên: 21/06/2014, 11:20

... Theorem 4.1 that the net {x t } generated by x t  tfx t 1 − t T δ x t converges strongly to q ∈ Fix T δ Fix T ,ast → 0. Clearly, x t − y n   1 − t   T δ x t − y n   t  f  x t  − y n  . ... Point Theory and Applications for all x, y ∈ C. We note that the class of λ-strict pseudocontractions strictly includes the class of nonexpansive mappings wh...

Ngày tải lên: 21/06/2014, 11:20

... Wang, and J C. Yao, Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities,” Mathematical Methods of Operations Research, vol. 67, no. ... retraction of C if there exists a sunny nonexpansive retraction from C onto D.ItiswellknownthatifX is a Hilbert space, then a sunny nonexpansive retraction Q C is coincident with the metr...

Ngày tải lên: 21/06/2014, 07:20

... maps {T i : i ∈ I} and or the parameters {α n } are sufficient to guarantee strong convergence of the sequence in Theorem XO? The aim of this paper is to study strong convergence of iterative ... recent results from the current literature. 1. Introduction A metric space X, d is said to be a length space if any two points of X are joined by a rectifiable path i.e., a path of finite...

Ngày tải lên: 21/06/2014, 07:20

... Ansari Copyright q 2011 A. Cuntavepanit and B. Panyanak. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and ... “An iterative approach to quadratic optimization,” Journal of Optimization Theory and Applications, vol. 116, no. 3, pp. 659–678, 2003. 11 H K. Xu, “A strong convergence theorem for c...

Ngày tải lên: 21/06/2014, 07:20

... literature. See, for example, 2–8. In 1997, Combettes and Hirstoaga 9 introduced an iterative method for finding the best approximation to the initial data and proved a strong convergence theorem. Subsequently, ... P ∩ ∞ n1 F T n ∩VIA,C∩EPΘ fx ∗ . By Theorem 3.1, we obtain some interesting strong convergence theorems. Setting T n x  x then we have W n x  x in T...

Ngày tải lên: 21/06/2014, 10:20

... to thank professor Somyot Plubtieng for drawing my attention to the subject and for many useful discussions and the referees for helpful suggestions that improved the contents of the paper. This ... function L : 0, ∞ → 0, ∞ such that, for each t& gt;0, T t x − T t y≤L t x − y, for all x, y ∈ C. A Lipschitzian semigroup T is called nonexpansive if L t  1 for all t&...

Ngày tải lên: 21/06/2014, 11:20