Báo cáo hóa học: " Research Article Strong Convergence Theorems of the CQ Method for Nonexpansive Semigroups Huimin He and Rudong Chen" pptx

... show strong convergence theorems of the CQ method for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical programming. The results presented extend and improve the corresponding ... Applications Volume 2007, Article ID 59735, 8 pages doi:10.1155/2007/59735 Research Article Strong Convergence Theorems of the CQ Method...

Ngày tải lên: 22/06/2014, 19:20

... the program of Strategic Scholarships for Frontier Research Network for the Ph.D. Program Thai Doctoral degree from the Office of the Higher Education Commission, Thailand. Fixed Point Theory and ... 7 The following lemma is an immediate consequence of the subdifferential inequality. The first part of the next lemma is an immediate consequence of the subdifferen...

Ngày tải lên: 21/06/2014, 11:20

... to the setting of Banach spaces under the assumptions C1, C2 ,and C4 imposed on the control sequences {α n }.In 7, Xu remarked that the conditions C1 and C2 are necessary for the strong ... Point Theory and Applications Volume 2010, Article ID 754320, 11 pages doi:10.1155/2010/754320 Research Article Strong Convergence Theorems of Common Fixed Poin...

Ngày tải lên: 21/06/2014, 20:20

... Feasibility and Optimization and Their Applications, vol. 8, pp. 115–152, North-Holland, Amsterdam, The Netherlands, 2001. 3 K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive ... projection method for the class of T mappings and prove strong convergence theorem. Theorem 2.1. Let T n ∈ T for each n such that F :  ∞ n1 FixT n  /  ∅...

Ngày tải lên: 21/06/2014, 05:20

... uniformly smooth if and only if the norm of E is uniformly Fr ´ echet differentiable. If E is q-uniformly smooth, then q ≤ 2andE is uniformly smooth, and hence the norm of E is uniformly Fr ´ echet ... conclude the paper with the following observations. i Theorem 3.2 improve and extends Theorem 3.1 of Zhang and Su 17, Theorem 1 of Yao et al. 11, and Theorem 2.2...

Ngày tải lên: 21/06/2014, 11:20

... x n   , x n1 Π C n1 x 0 , 3.33 for n ∈ N ∪{0},whereJ is the single-valued duality mapping on E.Then{x n } converges strongly to Π FT x 0 . Similarly, as in the proof of Theorem 3.1, we obtain the following results. Theorem ... x n   , x n1 Π C n1 x 0 , 4.13 for n ∈ N ∪{0},whereJ is the single-valued duality mapping on E.Then{x n } converges strongly to Π FT x 0...

Ngày tải lên: 21/06/2014, 20:20

... Theorem 3.1, 3, Theorem 3.1 and Corollary 3.3 ,and 4, Theorems 3. 2and3 .3. 2 In contrast to the results in 7, Theorem 2 ,and 8, Theorem 3.1, these results with respect to nonexpansive mappings ... β n ≡ 0, for all n ≥ 1, in 1.7, then 1.7 is reduced to the Mann iteration. The purpose in this paper is to show strong convergence theorems of the modified Mann...

Ngày tải lên: 21/06/2014, 11:20

... pages doi:10.1155/2009/962303 Research Article Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space Yi-An Chen College of Mathematics and Statistics, Chongqing Technology and Business ... P F x q . This completes the proof. 2 Fixed Point Theory and Applications where P C denotes the metric projection from H onto a closed convex subset C...

Ngày tải lên: 21/06/2014, 20:20

... R. Chen, Strong convergence theorems of the CQ method for nonexpansive semigroups, ” Fixed Point Theory and Applications, vol. 2007, Article ID 59735, 8 pages, 2007. 4 T. Suzuki, Strong convergence ... recently proved a strong convergence theorem for nonexpansive semigroups in Hilbert spaces by hy- brid method in the mathematical programming. However,...

Ngày tải lên: 21/06/2014, 22:20

... prove a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a hemirelatively nonexpansive mapping and for finding ... points of hemirelatively nonexpansive mappings and the set of solutions of an equilibrium problem and for finding a common element of the set of z...

Ngày tải lên: 21/06/2014, 23:20