Báo cáo hóa học: " Strong convergence theorems for equilibrium problems and fixed point problems: A new iterative method, some comments and applications" pptx

... as: He and Du: Strong convergence theorems for equilibrium problems and fixed point problems: A new iterative method, some comments and applications. Fixed Point Theory and Applications 2011 2011:33. Submit ... 2011:33 http://www.fixedpointtheoryandapplications.com/content/2011/1/33 Page 2 of 15 RESEARC H Open Access Strong convergence theorems...

Ngày tải lên: 21/06/2014, 01:20

... this article as: Bunyawat and Suantai: Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings. Fixed Point Theory and Applications ... Thailand 2 Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand Authors’ contributions AB study and researched nonlinear analysis and al...

Ngày tải lên: 21/06/2014, 00:20

... pseudocontractions in Hlibert spaces. Nonlinear Anal. 70, 1902–1911 (2009). doi:10.1016/j.na.2008.02.090 14. Tada, A, Takahashi, W: Weak and strong convergence theorems for a nonexpansive mappingand a equilibrium problem. ... P C n ∩Q n (u), for all n ∈ N, Duan and Zhao Fixed Point Theory and Applications 2011, 2011:13 http://www.fixedpointtheoryandapplications.com/...

Ngày tải lên: 21/06/2014, 02:20

... 2400–2411. [8] K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonex- pansive semigroups, Journal of Mathematical Analysis and Applications 279 (2003), no. ... of accretive operators in Banach spaces,Journal of Mathematical Analysis and Applications 75 (1980), no. 1, 287–292. [11] , Approximating fixed points of nonexpansive mappings, Panam...

Ngày tải lên: 22/06/2014, 22:20

... (Ger- man). [10] B. Halpern, Fixed points of nonexpanding maps, Bull. Amer. Math. Soc. 73 (1967), 957–961. [11] S. Ishikawa, Fixed points and iteration of a nonexpansive mapping in a Banach space,Proc.Amer. Math. ... using Lemma 2.1, we obtain the following useful lemma, which is a generalization of [19, Lemma 2] and [20, Lemma 6]. Lemma 2.2. Let {z n } and {w n } be bounded s...

Ngày tải lên: 23/06/2014, 00:20

... to an arbitrary interval and to the Ishikawa iteration and gave some control conditions for the convergence of Ishikawa iteration on an arbitrary in- terval. Recently, Phuengrattana and Suantai ... necessary and sufficient condition for the convergence of Ishikawa iteration on an arbitrary interval. J. Math. Anal. Appl. 323, 1383–1386 (2006) [8] Atsushiba, S, Takahashi, W: St...

Ngày tải lên: 21/06/2014, 17:20

... (2006) doi:10.1186/1687-1812-2011-55 Cite this article as: Piri and Badali: Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities. Fixed Point Theory and Applications 2011 2011:55. Submit ... hand  A x − Ay ≤ A  x − y  . Therefore, ¯γ  A  2  Ax − Ay 2 ≤Ax − Ay, x − y . Piri and Badali Fixed Point Theory...

Ngày tải lên: 20/06/2014, 22:20

... is nonem pty; for instance, see [5]. Recently, Tada and Takahashi [6] and Takahashi and Takahashi [7] considered iterative methods for finding an element of EP(G) ∩ F(T). Browder and Pet- ryshyn ... Nonlinear Functional Analysis. Yokohama Publishers, Yoko-hama (2000) 6. Tada, A, Takahashi, W: Strong convergence theorem for an equilibrium problem and a nonexpansive m...

Ngày tải lên: 21/06/2014, 01:20

... conditions for the convergence of Ishikawa iteration on an arbitrary in- terval. Recently, Phuengrattana and Suantai [4] obtained a similar result for the new iteration, called the SP-iteration, and ... and Mann iterations for a class of Zamfirescu operators in arbitrary Banach spaces. Popescu [28] also used this concept to compare the rate of convergence of Picard and...

Ngày tải lên: 20/06/2014, 20:20

... problems and variational inequality problems. Taiwan J Math. 10, 1293–1303 (2006) 18. Yao, Y, Liou, YC, Chen, R: Convergence theorems for fixed point problems and variational inequality problems ... variational inequality problems and fixed point problems. Appl Math Comput. 1906, 206–215 (2007) 17. Ceng, LC, Yao, JC: Strong convergence theorem by an extragrad...

Ngày tải lên: 20/06/2014, 22:20