Báo cáo hóa học: " Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces" doc

... Access Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces Ming Tian * and Xin Jin * Correspondence: tianming1963@126.com College of Science, Civil Aviation University of China, ... process for quasi-nonexpansive mappings in Hilbert spaces. Comput Math Appl. 59(1), 74–79 (2009) 5. Tian, M: A general iterative algorithm for nonexpansive mappi...

Ngày tải lên: 20/06/2014, 22:20

... converges strongly to a fixed point of T. Another result in [1] is to obtain the Δ-convergence of a defined sequence, to a com- mon fixed point of two nonexpansive self -mappings. According to the ... contributed in obtaining the new results presented in this article. All authors read and approved the final manuscript. Competing interests The authors declare that they have no competin...

Ngày tải lên: 20/06/2014, 22:20

... of the linear transformation in Banach spaces,” Journal of the Mathematical Society of Japan, vol. 2, pp. 64–66, 1950. 7 D. G. Bourgin, “Classes of transformations and bordering transformations,” ... 6f  2y  2.1 for all x, y ∈ X. Interchanging x with y in 1.9,weobtain f  2y  x   f  2y − x   4  f  y  x   f  y − x   2  f  2y  − 4f  y  − 6f  x  2.2 for a...

Ngày tải lên: 22/06/2014, 02:20

... generalized G B -majorized mappings unifies and generalizes the corresponding notions of G B -majorized mappings in 4; L S -majorized mappings in 2, 13; H-majorized mappings in 14. Some new existence ... of G B -mappings resp., G B - majorant mappings were introduced by Ding in 4. Clearly, each family of generalized G B - mappings must be a family of generalized G...

Ngày tải lên: 22/06/2014, 02:20

... Iran Abstract In this paper, using strongly monotone and lipschitzian operator, we introduce a general iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with ... contributed in obtaining the new results presented in this article. All authors read and approved the final manuscript. Competing interests The authors declare that they have no comp...

Ngày tải lên: 20/06/2014, 22:20

... of nonexpansive mappings and a strictly pseudocontractive mapping, and a countable family of uniformly k-strictly pseudocontractive mappings and an inverse strongly monotone mapping. Our main results ... variational inequality, inverse strongly monotone mapping, strictly pseudocontractive mapping, countable family of uniformly k-strictly pseudocontractive mappings 1 Introduction Let H b...

Ngày tải lên: 21/06/2014, 00:20

... convergence theorem by Ces’aro means for nonexpansive mappings and inverse-strongly monotone mappings. J Nonlinear Convex Anal. 7, 105–113 (2006) 5. Takahashi, W: Nonlinear Functional Analysis. Yokohama ... fixed points of nonlinear mappings in Hilbert spaces. J Math Anal Appl. 20, 197–228 (1967). doi:10.1016/0022-247X(67)90085-6 9. Marino, G, Xu, HK: Weak and strong convergence...

Ngày tải lên: 21/06/2014, 01:20

... Marino, G: An implicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of infinite family of nonexpansive mappings. Nonlinear ... 0 ≤ lim inf n→∞ | x n | . Therefore {x n } strongly converges to 0. □ In this paper, motivated by the preceding Example A, we introduce a new iterative algorithm for the problem of finding...

Ngày tải lên: 21/06/2014, 01:20

... pseudocontractive mappings in the intermediate sense. Comput Math Appl. (2010) 4. Sahu, DR, Xu, HK, Yao, JC: Asymptotically strict pseudocontractive mappings in the intermediate sense. Nonlinear ... ® Hbeana-inverse-strongly monotone mapping. Let for each 1 ≤ i ≤ N, T i : C ® Cbea uniformly continuous k i -strictly asymptotically pseudo contractive mapping in the inter- media te s...

Ngày tải lên: 21/06/2014, 02:20

... non- expansive mapping is an important subject in the theory of nonexpansive mappings and finds applications in a number of applied areas, in particular, in image recovery and signal processing (see, e.g., ... extended to the continuous case.  2. Main results In this section we propose a modification of the Halpern iteration method to have strong convergence for asymptotically...

Ngày tải lên: 22/06/2014, 22:20