Báo cáo hóa học: " Research Article Convergence of Paths for Perturbed Maximal Monotone Mappings in Hilbert Spaces" potx

... pages doi:10.1155/2010/547828 Research Article Convergence of Paths for Perturbed Maximal Monotone Mappings in Hilbert Spaces Yuan Qing, 1 Xiaolong Qin, 1 Haiyun Zhou, 2 and Shin Min Kang 3 1 Department of Mathematics, ... Foundation of China Grant no. 10771050. References 1 F. E. Browder, “Fixed-point theorems for noncompact mappings in Hilbert space,”...

Ngày tải lên: 21/06/2014, 07:20

... space, D a proper convex cone in Z.Apointy ∈ A is called a vector minimal point of A if for any y ∈ A, y − y / ∈−D \{0}. The set of vector minimal point of A is denoted by Min D A. Lemma 4.1 see 27. ... vi  in Lin 5, respectively. Definition 2.7 see 25. A uniformity for a set X is a nonempty family U of subsets of X × X satisfying the following conditions: i eac...

Ngày tải lên: 21/06/2014, 11:20

... Common Zero Points of a Family of m-Accretive Mappings in Banach Spaces Yuan Qing, 1 Sun Young Cho, 2 and Xiaolong Qin 1 1 Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China 2 Department ... contractive mapping, and T : K → K is a nonexpansive mapping with a fixed point. Strong convergence theorems of fixed points are obtained in a uniformly smooth Ban...

Ngày tải lên: 21/06/2014, 05:20

... considered for finding a common element in the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping which is the sum of a maximal monotone operator and an inverse ... Technology Research Project of Henan province, China 102102210022. References 1 F. E. Browder and W. V. Petryshyn, “Construction of fixed points of nonlinear mappings...

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... for the weak and strong convergence of fixed points of self -mappings in a uniformly convex Banach space. As remarked earlier, Suantai 7 has established weak and strong convergence criteria for ... for nonself- mappings and those of Chidume et al. 12 in the sense that our iterative process contains the one used by them. The concept of nonself asymptotically nonexpa...

Ngày tải lên: 21/06/2014, 10:20

... In general, the convergence of the sequence of approximate solutions given by the monotone iterative technique is at most linear 8, 9. To obtain a sequence of approximate solutions converging ... 1995. Hindawi Publishing Corporation Boundary Value Problems Volume 2011, Article ID 929061, 17 pages doi:10.1155/2011/929061 Research Article Approximation of Solutions for S...

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... G. Marino, “An implicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of in nite family of nonexpansive mappings, ” Nonlinear ... “Construction of fixed points of nonlinear mappings in Hilbert space,” Journal of Mathematical Analysis and Applications, vol. 20, pp. 197–228, 1967. 12 H. Zhou, Convergen...

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... 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 this paper. Let ... obtained lots of classical results for sequences of independent random variables and martingale differences. For a detailed survey of strong limit theorems of seque...

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... 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 a system of equilibrium problems ... pseudocontraction for some 0 ≤ κ i < 1.Let Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 396080, 14 pages doi:10.1155/...

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... of the proposed algorithm for α = 0.2andα = 0.8, respectively, for an SNR of 10 dB. InthecaseofanSNRof20dB,Figures9 and 10 depict the results. The case of α = 0.2isshowninFigure9 while that of ... Processing, vol. 42, no. 6, pp. 1335–1351, 1994. [10] T. Y. Al-Naffouri, A. Zerguine, and M. Bettayeb, “A unifying view of error nonlinearities in LMS adaptation,” in Proceedings o...

Ngày tải lên: 21/06/2014, 08:20