Báo cáo hóa học: " Research Article Strong Convergence of Cesàro Mean Iterations for Nonexpansive Nonself-Mappings in Banach Spaces" ppt

... Article ID 59262, 11 pages doi:10.1155/2007/59262 Research Article Strong Convergence of Cesàro Mean Iterations for Nonexpansive Nonself-Mappings in Banach Spaces Rabian Wangkeeree Received 9 March ... nonexpansive nonself-mappings. In 2004, Matsushita and Kuroiwa [4] studied the strong convergence of the sequences {x n } and {y n } for nonexpansive...

Ngày tải lên: 22/06/2014, 19:20

... 287–292, 1980. 18 N. Shioji and W. Takahashi, Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces,” Proceedings of the American Mathematical Society, vol. 125, ... 12, pp. 3641–3645, 1997. 19 T. Suzuki, Strong convergence theorems for in nite families of nonexpansive mappings in general Banach spaces,” Fixed Point Theory and...

Ngày tải lên: 22/06/2014, 11:20

... the following three aspects. 1 In contrast to weak convergence results on a Hilbert Space in 9 ,strong convergence of the iterative sequence is obtained in the general setup of a Banach space. 2 ... zero of A. However, the Mann iteration scheme has only weak convergence for nonexpansive mappings even in a Hilbert space see 4. Our main purpose is to prove...

Ngày tải lên: 21/06/2014, 20:20

... to approximate a solution of variational inequality 1.15 for an α-inverse strongly accretive operators. Strong convergence theorems are obtained in the framework of Banach spaces under appropriate ... Evidently, the definition of the inverse strongly accretive operator is based on that of the inverse strongly monotone operator. Let D be a subset of C and let Q be a mappin...

Ngày tải lên: 22/06/2014, 02:20

... Simeon Reich The purpose of this article is to prove strong convergence theorems for fixed points of closed hemi- relatively nonexpansive mappings. In order to get these convergence theorems, the ... Foundation of China under Grant no. 10771050. References 1 S Y. Matsushita and W. Takahashi, “A strong convergence theorem for relatively nonexpansive map- pings in...

Ngày tải lên: 22/06/2014, 06:20

... prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach ... prove a strong convergence theorem for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemi-relatively nonexpans...

Ngày tải lên: 22/06/2014, 11:20

... Furi We introduce an iterative method for finding a common element of the set of solutions of equilibrium problems, the set of solutions of variational inequality problems, and the set of fixed points ... x n   2  , 3.48 Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2009, Article ID 362191, 21 pages doi:10.1155/2009/362191 Research Article S...

Ngày tải lên: 22/06/2014, 11:20

... Simeon Reich The purpose of this article is to prove strong convergence theorems for fixed points of closed hemi- relatively nonexpansive mappings. In order to get these convergence theorems, the ... pages doi:10.1155/2008/284613 Research Article Strong Convergence of Monotone Hybrid Algorithm for Hemi-Relatively Nonexpansive Mappings Yongfu Su, 1 Dongxing Wang,...

Ngày tải lên: 22/06/2014, 19:20

... 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 ... points of X is taken to be the in mum of the lengths of all rectifiable paths joining them. In this case, d is said to be a length metric otherwise known as...

Ngày tải lên: 21/06/2014, 07:20

... fixed point of T if x  Tx. We will denote by FT the set of fixed points of T. In 1967, Halpern 1 introduced an explicit iterative scheme for a nonexpansive mapping T on a subset C of a Hilbert ... result by introducing a modified Halpern iteration in a Banach space as follows. Let C be a closed convex subset of a uniformly smooth Banach space X,andletT : C → C be a no...

Ngày tải lên: 21/06/2014, 07:20