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A Hybrid Subgradient Algorithm for Nonexpansive Mappings and Equilibrium Problems

Báo cáo sinh học:

Báo cáo sinh học: " Hierarchical convergence of an implicit double-net algorithm for nonexpansive semigroups and variational inequality problems" ppt

... 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 Foundation Grant funded by the Korean ... point problems and variational inequality problems J Appl Math Comput 31, 433–445 (2009) [11] Yao, Y, Cho, YJ, Liou, YC: Iterative algorithms for hierarchical fixed points problems and variational...
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Báo cáo sinh học:

Báo cáo sinh học: "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" pptx

... 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 fixed point of a countable family of relatively nonexpansive ... : Can the Mann algorithms (1.20) of [45] still be valid for an infinite family of relatively quasi-nonexpansive mappings? Question : Can an iterative scheme (1.19) to solve a system of generalized...
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báo cáo hóa học:

báo cáo hóa học:" 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" docx

... 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 fixed point of a countable family of relatively nonexpansive ... : Can the Mann algorithms (1.20) of [45] still be valid for an infinite family of relatively quasi-nonexpansive mappings? Question : Can an iterative scheme (1.19) to solve a system of generalized...
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Báo cáo toán học:

Báo cáo toán học: " Hierarchical convergence of an implicit doublenet algorithm for nonexpansive semigroups and variational inequality problems" doc

... 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 hierarchical fixed point problems and variational ... double-net algorithm for nonexpansive semigroups and variational inequality problems Fixed Point Theory and Applications 2011 2011:101 Submit your manuscript to a journal and benefit from: Convenient...
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Báo cáo toán học:

Báo cáo toán học: " 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" ppt

... 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 Takahashi [41] and Shehu [45] and ... Can the Mann algorithms (1.20) of [45] still be valid for an infinite family of relatively quasi-nonexpansive mappings? Question 2: Can an iterative scheme (1.19) to solve a system of generalized...
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Báo cáo hóa học:

Báo cáo hóa học: " A new modified block iterative algorithm for uniformly quasi-j-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems" ppt

... 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 -nonexpansive mappings to an infinite family of quasi-j-asymptotically ... 36 Cholamjiak, W, Suantai, S: Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi -nonexpansive mappings in Banach spaces Abstr Appl Anal 2010,...
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Báo cáo hóa học:

Báo cáo hóa học: " Research Article A New Hybrid Algorithm for a System of Mixed Equilibrium Problems, Fixed Point Problems for Nonexpansive Semigroup, and Variational Inclusion Problem" ppt

... 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 Inequalities and Applications, vol 2010, Article ... 2010, Article ID 895907, 23 pages, 2010 30 T Jitpeera and P Kumam, A new hybrid algorithm for a system ofequilibrium problems and variational inclusion, ” Annali dell’Universita di Ferrara In...
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báo cáo hóa học:

báo cáo hóa học:" Research Article A Hybrid-Extragradient Scheme for System of Equilibrium Problems, Nonexpansive Mappings, and Monotone Mappings" pot

... 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 mappings, Nonlinear Analysis: Theory, Methods & Applications, vol ... W Takahashi, Y Takeuchi, and R Kubota, “Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces,” Journal of Mathematical Analysis and Applications,...
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Báo cáo hóa học:

Báo cáo hóa học: " Research Article A Hybrid Projection Algorithm for Finding Solutions of Mixed Equilibrium Problem and Variational Inequality Problem" pptx

... 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 of a variational inequality V I C, B One can note that ... Journal of Mathematical Analysis and Applications, vol 20, pp 197–228, 1967 F E Browder, “Nonexpansive nonlinear operators in a Banach space,” Proceedings of the National Academy of Sciences of the...
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Báo cáo hóa học:

Báo cáo hóa học: "Research Article Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Poin" pdf

... 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 Alber, “Metric and ... Nakajo and W Takahashi, “Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups,” Journal of Mathematical Analysis and Applications, vol 279, no 2, pp 372– 379, 2003 W Takahashi,...
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Báo cáo hóa học:

Báo cáo hóa học: " Research Article Strong Convergence Theorem by Monotone Hybrid Algorithm for Equilibrium Problems, Hemirelatively Nonexpansive Mappings, and Maximal Monotone Operators" pdf

... 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, vol 2008, Article ID 284613, ... solutions of an equilibrium problem in a Banach space by using the monotone hybrid method Using this theorem, we obtain three new strong convergence results for finding a solution of an equilibrium...
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Báo cáo hóa học:

Báo cáo hóa học: " Research Article A New Hybrid Algorithm for Variational Inclusions, Generalized Equilibrium Problems, and a Finite Family of Quasi-Nonexpansive Mappings" pptx

... 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 of Mathematical Analysis and Applications, ... Guu, and J.-C Yao, Hybrid approximate proximal point algorithms for variational inequalities in Banach spaces,” Journal of Inequalities and Applications, vol 2009, Article ID 275208, 17 pages,...
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Báo cáo toán học:

Báo cáo toán học: "A Fixed Point Theorem for Nonexpansive Mappings in Locally Convex Spaces" ppt

... , 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 Nonexpansive Mappings in Locally Convex Spaces ... 1245–1256 W A Kirk, A fixed point theorem for mappings which not increase distances, Amer Math Monthly 72 (1965) 1004–1006 J M Ling, Fixed points of nonexpansive maps on locally convex spaces, Bull Korean...
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A Hybrid Subgradient Algorithm for Nonexpansive Mappings and Equilibrium Problems

A Hybrid Subgradient Algorithm for Nonexpansive Mappings and Equilibrium Problems

... 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) 2350-2360 [6] A Auslander, M Teboulle and S ... Ben-Tiba, A logaritmic quadratic proximal method for variational inequalities Comput Optim Appl 12(1999) 31-40 [7] E Blum and W Oettli, From optimization and variational inequality to equilibrium problems...
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