Báo cáo hóa học: "Research Article Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space Yi-An Chen" ppt

... pages doi:10.1155/2010/150539 Research Article Strong Convergence Theorems for Strict Pseudocontractions in Uniformly Convex Banach Spaces Liang-Gen Hu, 1 Wei-Wei Lin, 2 and Jin-Ping Wang 1 1 Department of Mathematics, Ningbo ... 12, pp. 1127–1138, 1991. 10 T. Suzuki, Strong convergence theorems for in nite families of nonexpansive mappings in general Banach spaces...

Ngày tải lên: 21/06/2014, 11:20

... Applications Volume 2009, Article ID 962303, 7 pages doi:10.1155/2009/962303 Research Article Strong Convergence Theorems for In nitely Nonexpansive Mappings in Hilbert Space Yi-An Chen College of ... Anthony To Ming Lau We introduce a modified Ishikawa iterative process for approximating a fixed point of two in nitely nonexpansive self -mappings by using the...

Ngày tải lên: 21/06/2014, 20:20

... 2005. 5 W. Takahashi, Y. Takeuchi, and R. Kubota, Strong convergence theorems by hybrid methods for fam- ilies of nonexpansive mappings in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol. ... 2007. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2008, Article ID 745010, 7 pages doi:10.1155/2008/745010 Research Article Str...

Ngày tải lên: 21/06/2014, 22:20

... establish a strong convergence theorem for common fixed points of the multistep iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in a uniformly convex ... Yeol Je Cho We establish strong convergence theorem for multi-step iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense...

Ngày tải lên: 22/06/2014, 02:20

... from one single mapping to a finite family of nonexpansive mappings, respectively. References [1] G. Marino and H K. Xu, “A general iterative method for nonexpansive mappings in Hilbert spaces,” ... pages doi:10.1155/2007/76971 Research Article Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings Meijuan Shang, Yongfu Su, and Xiaolong Qin Received...

Ngày tải lên: 22/06/2014, 19:20

... K. 1.6 2. Main Results In this section, we will introduce a shrinking projection method for the class of T mappings and prove strong convergence theorem. Theorem 2.1. Let T n ∈ T for each n such ... convergence results for the class of T mappings, a quasi -nonexpansive mapping and a nonexpansive mapping in a Hilbert space. Theorem 3.1. Let T ∈ T such that FixT /...

Ngày tải lên: 21/06/2014, 05:20

... “Fixed-point theorems for noncompact mappings in Hilbert space, ” Proceedings of the National Academy of Sciences of the United States of America, vol. 53, pp. 1272–1276, 1965. 8 Fixed Point Theory ... problem 1.12 is very interesting as it is connected with the fixed point problem for nonlinear mapping and the problem o f finding a zero point of an accretive operator in Banach...

Ngày tải lên: 21/06/2014, 07:20

... results including the results in 12, 17, 22. iii It is worth noting that we obtained two strong convergence results concerning an in nite countable family of λ i -strict pseudocontractions mappings. ... S. Mitrinovi ´ c, Analytic Inequalities, Springer, New York, NY, USA, 1970. 20 Y.J.Cho,S.M.Kang,andX.Qin,“Someresultsonk-strictly pseudo-contractive mappings in Hilbert spa...

Ngày tải lên: 21/06/2014, 11:20

... method for solving the variational inequality problem and fixed point problem of an in nite family of nonexpansive mappings in Hilbert spaces,” Fixed Point Theory and Applications, vol. 2009, Article ... pseudo-contractions in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol. 343, no. 1, pp. 546–556, 2008. 14 S. Reich, “Weak convergence theorems f...

Ngày tải lên: 21/06/2014, 11:20

... from relatively nonexpansive mappings to more general hemi-relatively nonexpansive mappings in a Banach space. 4. Halpern Iterative Scheme In this section, we prove the strong convergence theorems for finding ... 1.12–1.14, for countable hemi-relatively nonexpansive mappings. By using the shrinking projection method, some strong convergence theorems in a...

Ngày tải lên: 21/06/2014, 20:20