Báo cáo hóa học: " Research Article Strong Convergence of Modified Implicit Iteration Processes for Common Fixed Points of Nonexpansive Mappings" potx

... Corporation Fixed Point Theory and Applications Volume 2007, Article ID 48174, 9 pages doi:10.1155/2007/48174 Research Article Strong Convergence of Modified Implicit Iteration Processes for Common Fixed ... T nmodN , for common fixed points of a finite family of nonexpansive mappings {T i } N i =1 in Hilbert spaces and to prove strong convergence the...

Ngày tải lên: 22/06/2014, 19:20

... and H K. Xu, Strong convergence of the CQ method for fixed point iteration processes, ” Nonlinear Analysis. Theory, Methods & Applications, vol. 64, no. 11, pp. 2400–2411, 2006. 2 Fixed Point ... method for a nonexpansive mapping on Hilbert spaces, which is the same as presented by Takahashi et al. 4. We will use the following notations: 1  for weak convergence and...

Ngày tải lên: 21/06/2014, 05:20

... algorithm for finding a common element of the set of fixed points of hemirelatively nonexpansive mappings and the set of solutions of an equilibrium problem and for finding a common element of the set of ... element of the set of solutions of an equilibrium problem and the set of fixed points of a hemirelatively nonexpansive mapping and for finding a comm...

Ngày tải lên: 21/06/2014, 23:20

... set of all fixed points of the mapping G.Nowwe prove the strong convergence theorem of algorithm 1.18 for solving problem 1.17. Theorem 3.4. Let C be a nonempty closed convex subset of a uniformly ... Corporation Fixed Point Theory and Applications Volume 2010, Article ID 246808, 13 pages doi:10.1155/2010/246808 Research Article Strong Convergence Theorem for...

Ngày tải lên: 21/06/2014, 07:20

... algorithms and their strong convergence play an important role in finding a common element of the set of fixed common fixed point for different classes of mappings and the set of solutions of an equilibrium ... sufficient to guarantee strong convergence of the sequence in Theorem XO? The aim of this paper is to study strong convergence of iterative algorithm 1.6...

Ngày tải lên: 21/06/2014, 07:20

... Wang, “A note on strong convergence of a modified Halpern’s iteration for nonexpansive mappings,” Fixed Point Theory and Applications, vol. 2010, Article ID 805326, 2 pages, 2010. 4 Fixed Point Theory ... Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 869458, 11 pages doi:10.1155/2011/869458 Research Article Strong Convergence...

Ngày tải lên: 21/06/2014, 07:20

... scheme for finding a common element of the set of fixed point of infinitely nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of the variational of inequality ... common element of the set of fixed point of nonexpansive mappings, the set of solutions of an equilibrium problems, and the set of solutions of the var...

Ngày tải lên: 21/06/2014, 10:20

... Corporation Fixed Point Theory and Applications Volume 2010, Article ID 301868, 15 pages doi:10.1155/2010/301868 Research Article Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive ... FT N  is the set of all fixed points of T n and FT is the set of all common fixed points of T. We consider the following cond...

Ngày tải lên: 21/06/2014, 11:20

... Publishing Corporation Fixed Point Theory and Applications Volume 2010, Article ID 354202, 19 pages doi:10.1155/2010/354202 Research Article Strong Convergence Theorems of a New General Iterative ... Banach space and the dual space of E, respectively. Let C be a subset of E,andlrtT be a non-self-mapping of C.WeuseFT to denote the set of fixed points of T. The norm...

Ngày tải lên: 21/06/2014, 11:20

... converges strongly to a common fixed point of {T n }. Very recently, Song and Zheng 4 also studied the strong convergence theorem of Halpern iteration 1.5 for a countable family of nonexpansive ... properly cited. For a countable family {T n } ∞ n1 of strictly pseudo-contractions, a strong convergence of viscosity iteration is shown in order to find a common...

Ngày tải lên: 21/06/2014, 11:20