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RESEARCH ARTICLE Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings

Báo cáo hóa học:

Báo cáo hóa học: " Research Article General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces" ppt

... results involving general viscosity approximation processes for nonexpansive mapping, nonexpansive semigroup, and contractive mapping to nonexpansive semigroup and φ-strongly pseudocontractive mapping ... 3.1 and 3.2 are valid for nonexpansive mappings Thus, we have the following mean ergodic assertions of general viscosity iteration process for nonexpansive mappings in Hilbert spaces Corollary ... mappings in Banach spaces,” Journal of Mathematical Analysis and Applications, vol 323, no 2, pp 1402–1416, 2006 R Chen and H He, Viscosity approximation of common fixed points of nonexpansive semigroups...
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Báo cáo hóa học:

Báo cáo hóa học: " Research Article Hybrid Projection Algorithms for Generalized Equilibrium Problems and Strictly " docx

... no 9, pp 3307–3319, 2009 Y J Cho, X Qin, and J I Kang, “Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems, ” Nonlinear Analysis: Theory, Methods ... 2009 C Jaiboon, W Chantarangsi, and P Kumam, “A convergence theorem based on a hybrid relaxed extragradient method for generalized equilibrium problems and fixed point problems of a finite family of ... mappings,” Nonlinear Analysis: Hybrid Systems, vol 4, no 1, pp 199–215, 2010 P Kumam, “A hybrid approximation method for equilibrium and fixed point problems for a monotone mapping and a nonexpansive mapping,”...
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Báo cáo hóa học:

Báo cáo hóa học: " Research Article Some Iterative Methods for Solving Equilibrium Problems and Optimization Problems" potx

... Mathematics and Computation, vol 186, no 2, pp 1551–1558, 2007 17 Y Su, M Shang, and X Qin, “An iterative method of solution for equilibrium and optimization problems, ” Nonlinear Analysis: Theory, Methods ... points problems, equilibrium points problems, and variational inequalities problems Therefore, the constrained set F : Fix S ∩EP F ∩VI C, B is very important and applicable We now recall some well-known ... works of Noor and Y Yao and J.-C Yao 16 Numerous problems in physics, optimization, and economics reduce to find a solution of 2.12 Some methods have been proposed to solve the equilibrium problem;...
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báo cáo hóa học:

báo cáo hóa học:" Research Article Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces" pdf

... fixed points of nonlinear mappings is an important and active research area In particular, iterative algorithms for finding fixed points of nonexpansive mappings have received vast investigation ... fixed points of a countable family of nonexpansive mappings in a Banach space,” Nonlinear Analysis: Theory, Methods & Applications, vol 67, no 8, pp 2350–2360, 2007 18 J.-W Peng and J.-C Yao, A viscosity ... 2005 15 L S Liu, “Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces,” Journal of Mathematical Analysis and Applications, vol 194, no 1,...
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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 New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces" pot

... a major error in the original version of this paper References K Aoyama, Y Kimura, W Takahashi, and M Toyoda, Approximation of common fixed points of a countable family of nonexpansive mappings ... Banach space with a uniformly G´ teaux differentiable norm a Other investigations of approximating common fixed points for a countable family of nonexpansive mappings can be found in 1, 20–24 and ... 27 initiated the study of certain classes of nonlinear operators by means of the duality mapping Jϕ Following Browder 27 , we say that a Banach space E has a weakly continuous duality mapping...
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Báo cáo hóa học:

Báo cáo hóa học: " Research Article A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings" pptx

... spaces,” Journal of Mathematical Analysis and Applications, vol 325, no 1, pp 469–479, 2007 18 Fixed Point Theory and Applications 17 E Blum and W Oettli, “From optimization and variational ... solutions of equilibrium and fixed point problems, ” Journal of Mathematical Analysis and Applications, vol 344, no 1, pp 340– 352, 2008 20 S.-S Chang, H W Joseph Lee, and C K Chan, A new method for solving ... methods for equilibrium problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol 331, no 1, pp 506–515, 2007 P L Combettes and S A Hirstoaga,...
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Báo cáo hóa học:

Báo cáo hóa học: "Research Article A Hybrid Extragradient Viscosity Approximation Method for Solving Equilibrium Problems and Fixed Point Problems of Infinitely Many " pptx

... 2007 27 R Wangkeeree, “An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings,” Fixed Point Theory and Applications, ... 2445–2457, 2008 L.-C Ceng and J.-C Yao, “An extragradient- like approximation method for variational inequality problems and fixed point problems, ” Applied Mathematics and Computation, vol 190, no 1, ... set of fixed points of a nonexpansive mapping and Fixed Point Theory and Applications the set of solution of variational inequalities for β-inverse-strongly monotone, Takahashi and Toyoda 19 introduced...
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Báo cáo hóa học:

Báo cáo hóa học: " Research Article An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems" docx

... Zeng and Yao 16 introduced a new hybrid iterative algorithm for mixed equilibrium problems and fixed point problems and Mainge and Moudafi 22 introduced an iterative algorithm for equilibrium problems ... theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings,” Fixed Point Theory and Applications, vol 2007, Article ID 64363, 12 pages, 2007 12 S Plubtieng and ... convergence theorem for an equilibrium problem and a nonexpansive mapping,” in Nonlinear Analysis and Convex Analysis, W Takahashi and T Tanaka, Eds., pp 609–617, Yokohama, Yokohama, Japan, 2007 14 M...
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Báo cáo hóa học:

Báo cáo hóa học: " Research Article On Two Iterative Methods for Mixed Monotone Variational Inequalities" doc

... “Some iterative techniques for general monotone variational inequalities,” Optimization, vol 46, no 4, pp 391–401, 1999 20 M A Noor, “Some algorithms for general monotone mixed variational inequalities,” ... that T is monotone if and only of for each ρ > 0, the T resolvent Jρ is nonexpansive, and T is maximal monotone if and only of for each ρ > 0, the T resolvent Jρ is nonexpansive and defined on the ... algorithms for general pseudomonotone mixed variational inequalities,” Journal of Global Optimization, vol 18, no 1, pp 75–89, 2000 22 M A Noor, “An iterative method for general mixed variational inequalities,”...
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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 Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces" docx

... for finding a common fixed point of a finite family of relatively nonexpansive mappings in Banach spaces by using the hybrid method in mathematical programming Theorem 3.1 Let E be a uniformly convex ... family of relatively nonexpansive mappings in Banach spaces,” Fixed Point Theory and Applications, vol 2007, Article ID 21972, 18 pages, 2007 24 M Kikkawa and W Takahashi, “Approximating fixed points ... Plubtieng and K Ungchittrakool, “Strong convergence theorems of block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces,” Journal of Nonlinear and Convex...
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Báo cáo hóa học:

Báo cáo hóa học: "Research Article A Strong Convergence Theorem for a Family of Quasi-φ-Nonexpansive Mappings in a Banach Space" pdf

... operator equations in Banach spaces,” Panamerican Mathematical Journal, vol 4, no 2, pp 39–54, 1994 12 S Kamimura and W Takahashi, Strong convergence of a proximal-type algorithm in a Banach space,” ... S Matsushita and W Takahashi, A strong convergence theorem for relatively nonexpansive mappings in a Banach space,” Journal of Approximation Theory, vol 134, no 2, pp 257–266, 2005 Y F Su and ... Yokohama Publishers, Yokohama, Japan, 2000 10 Ya I Alber, “Metric and generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators...
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Hybrid ExtragradientArmijo Methods for Finite Families of Pseudomonotone Equilibrium problems and Nonexpansive Mappings

Hybrid ExtragradientArmijo Methods for Finite Families of Pseudomonotone Equilibrium problems and Nonexpansive Mappings

... extragradient type method for a system of equilibrium problems, variational inequality problems and fixed points of finitely many nonexpansive mappings, Journal of Nonlinear Analysis and Optimization, ... Plubtieng and K Ungchittrakool, Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces, Fixed Point Theory and Applications ... Armijo-type line search techniques for handling pseudomonotone equilibrium problems [1,7], and Mann’s iterative scheme for finding fixed points of nonexpansive mappings [13] This paper is organized...
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RESEARCH ARTICLE Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings

RESEARCH ARTICLE Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings

... of nonexpansive mappings {Sj }j=1 in Hilbert spaces, namely: • a parallel hybrid Mann -extragradient method; • a parallel hybrid Halpern -extragradient method, and • a parallel hybrid iteration -extragradient ... Parallel hybrid methods for a finite family of relatively nonexpansive mappings Numer Funct Anal Optim 35(6) (2014), pp 649-664 [3] P.K Anh, D.V Hieu, Parallel and sequential hybrid methods for ... proposed three parallel hybrid extragradients methods for finding a common element of the set of solutions of equilibrium problems for pseudomonotone M bifunctions {fi }N i=1 and the set of fixed...
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