A Hybrid Subgradient Algorithm for Nonexpansive Mappings and Equilibrium Problems

... Hierarchical convergence of an implicit double-net algorithm for nonexpansive semigroups and variational inequality problems Yonghong Yao1 , Yeol Je Cho∗2 and Yeong-Cheng Liou3 Department of ... Colleges and Universities Science and Technology Development Foundation (20091003) of Tianjin and NSFC 11071279 Yeol Je Cho was supported by the Korea Research Fo...

Ngày tải lên: 18/06/2014, 22:20

... A modified Mann iterative scheme by generalized f -projection for a countable family of relatively quasi-nonexpansive mappings and a system of generalized mixed equilibrium problems Siwaporn ... point of a countable family of relatively nonexpansive mappings in a Banach space They proved the strong convergence theorems for a common...

Ngày tải lên: 18/06/2014, 22:20

... A modified Mann iterative scheme by generalized f -projection for a countable family of relatively quasi-nonexpansive mappings and a system of generalized mixed equilibrium problems Siwaporn ... point of a countable family of relatively nonexpansive mappings in a Banach space They proved the strong convergence theorems for a common...

Ngày tải lên: 20/06/2014, 04:20

... Strong convergence of an iterative method for hierarchical fixed-point problems Pacific J Optim 3, 529–538 (2007) Yao, Y, Liou, YC: Weak and strong convergence of Krasnoselski-Mann iteration for hierarchical ... set of certain quasi -nonexpansive mappings Numer Funct Anal Optim 25, 619–655 (2004) 19 Guo, G, Wang, S, Cho, YJ: Strong convergence algorithms for hierar...

Ngày tải lên: 20/06/2014, 21:20

... fixed points of a countable family of relatively quasi-nonexpansive mappings, in a uniformly convex and uniformly smooth Banach space Saewan and Kumam Fixed Point Theory and Applications 2011, ... element of the aforementioned sets Our results extend and improve the recent result of Li et al [26], Matsushita and Takahashi [35], Takahashi et al [43], Nakajo and...

Ngày tải lên: 20/06/2014, 21:20

... set of a family of closed and uniformly quasi-j-asymptotically nonexpansive mappings, and the solution set of variational inequalities for an a- inverse strongly monotone mapping in a 2 -uniformly ... from nonexpansive mappings, relatively quasi -nonexpansive mappings or quasi-j -nonexpansive mappings and a finite family of closed relatively quasi -none...

Ngày tải lên: 21/06/2014, 01:20

... 2010, Article ID 383740, 19 pages, 2010 11 P Cholamjiak and S Suantai, A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi -nonexpansive ... P Katchang and P Kumam, A general iterative method of fixed points for mixed equilibrium problems and variational inclusion problems, Journal of...

Ngày tải lên: 21/06/2014, 07:20

... element of the solutions set of a system of equilibrium problems, fixed points set of a family of infinitely nonexpansive mappings, and the solution set of a variational inequality for a relaxed coercive ... J.-W Peng and J.-C Yao, A viscosity approximation scheme for system of equilibrium problems, nonexpansive mappings and monotone mappi...

Ngày tải lên: 21/06/2014, 11:20

... of two variational inequalities VI C ,A and VI C,B PC ; solution of a system of two mixed equilibrium problems Tn Trn and Vn solution of a mixed equilibrium problem and a variational inequality ... prove a strong convergence theorem to approximate a fixed point of S that is also a solution of a mixed equilibrium problem and a solution...

Ngày tải lên: 21/06/2014, 20:20

... Theory and Applications 20 T Ibaraki, Y Kimura, and W Takahashi, Convergence theorems for generalized projections and maximal monotone operators in Banach spaces,” Abstract and Applied Analysis, ... Yokohama, Japan, 2000 16 W Takahashi, Convex Analysis and Approximation of Fixed Points, vol of Mathematical Analysis Series, Yokohama Publishers, Yokohama, Japan, 2000 17 Y I A...

Ngày tải lên: 21/06/2014, 20:20

... K Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Fixed Point Theory and Applications, vol 2008, Article ID 528476, ... 2008 Y Su, D Wang, and M Shang, Strong convergence of monotone hybrid algorithm for hemi-relatively nonexpansive mappings, Fixed Point Theory and Applications...

Ngày tải lên: 21/06/2014, 23:20

... Journal of Mathematical Analysis and Applications, vol 279, no 2, pp 372– 379, 2003 G Bigi, M Castellani, and G Kassay, A dual view of equilibrium problems, Journal of Mathematical Analysis and ... Theory and Applications 32 W Nilsrakoo and S Saejung, “Strong convergence theorems for a countable family of quasiLipschitzian mappings and its applications,” Journal...

Ngày tải lên: 22/06/2014, 11:20

... , min) is probabilistic strictly convex then its corresponding (X, {pλ }) is strictly convex Proof Putting t = in Definition we get A Fixed Point Theorem for Nonexpansive Mappings in Locally Convex ... nonempty closed convex subsets of C and invariant under T , i.e., F = {K ⊂ C : K is a nonempty closed convex set and T (K) ⊂ K} A Fixed Point Theorem for No...

Ngày tải lên: 06/08/2014, 05:20

... of asymptotically nonexpansive mappings Bulletin Australian Math Society 43 (1991) 153-159 [18] A Tada and W Takahashi, Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium ... Takahashi, and M Toyoda, Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space Nonlin Anal.TMA 67(2007) 2350-2...

Ngày tải lên: 26/10/2015, 14:09