A Hybrid Method for a System Involving Equilibrium Problems Variational Inequalities and Nonexpansive Semigroup

... words for the articles These words show new information in the article, and make it easy to understand t h e content of the articles If a word in an article appears in the differentia words for its ... the story of the articles For example, the word "state" is the differentia word for dT, and is in its adjacent articles ds, dg, anddlo This means that d7 is a starting...

Ngày tải lên: 08/03/2014, 06:20

... Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of Yao et al Fixed Point Theory and Applications 2011, 2011:53 http://www.fixedpointtheoryandapplications.com/content/2011/1/53 ... fixed point approach to variational inequalities Bull Aust Math Soc.80, 117–124 Lu, X, Xu, HK, Yin, X: Hybrid methods for a...

Ngày tải lên: 20/06/2014, 22:20

... article as: Jung: A general composite iterative method for generalized mixed equilibrium problems, variational inequality problems and optimization problems Journal of Inequalities and Applications ... method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems Taiwan J Math 12, 1401–1432 (...

Ngày tải lên: 21/06/2014, 00:20

... this article as: Bunyawat and Suantai: Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings Fixed Point Theory and Applications ... motivated and inspired by Klin-eam and Suantai [6], we introduced the following iteration to find some solutions of variational inequality and fixed...

Ngày tải lên: 21/06/2014, 00:20

... element of the fixed point set of a finite family of asymptotically li -strict pseudocontractions and the solution set of the problem (1.3) Using the hybrid method, we obtain strong convergence theorems ... out the proof of convergence of the theorems and realization of numerical examples JZ carried out the check of the manuscript All authors...

Ngày tải lên: 21/06/2014, 02:20

... A, C Nadezhkina and Takahashi 23 and Zeng and Yao 24 proposed extragradient methods motivated by Korpeleviˇ 25 for finding c a common element of the fixed point set of a nonexpansive mapping and ... Mathematical Sciences Research Hot-Line, vol 3, no 8, pp 65–68, 1999 28 R U Verma, “Iterative algorithms and a new system of nonlinear quasivariational inequalities,...

Ngày tải lên: 21/06/2014, 07:20

... random nonlinear quasicomplementarity problem for random fuzzy mappings Later, Huang 26 studied the random generalized nonlinear variational inclusions for random fuzzy mappings In 2005, Ahmad ... pp 1400–1411, 2005 28 R Ahmad and A P Farajzadeh, “On random variational inclusions with random fuzzy mappings and random relaxed cocoercive mappings, ” Fuz...

Ngày tải lên: 21/06/2014, 07:20

... constraints for the expectation method Final Remarks In this paper, a class of stochastic bi-criteria optimization problems was studied by a new hybrid method where the chance-constrained programming ... objective achieve its maximal value Next, taking into account that the expectation value represents the average level and the variance indicates the deviation of the...

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

... 1.5 for all x, y ∈ C It is obvious that any α−inverse strongly monotone mapping A is monotone and Lipschitz continuous Construction of fixed points of nonexpansive mappings and asymptotically nonexpansive ... bifunction satisfying the conditions (A1)–(A4), let A be an α-inverse strongly 14 Fixed Point Theory and Applications monotone mapping of C into H, and let {...

Ngày tải lên: 21/06/2014, 20:20

... J Zaslavski, “Variational principles and well-posedness in optimization and calculus of variations,” SIAM Journal on Control and Optimization, vol 38, no 2, pp 566–581, 2000 A J Zaslavski, Generic ... of Diffeomorphisms, MIT Press, Cambridge, Mass, USA, 1971 A J Zaslavski, Turnpike Properties in the Calculus of Variations and Optimal Control, Springer, New York, NY, USA, 2006 A...

Ngày tải lên: 21/06/2014, 22:20

... approximation methods for nonexpansive mappings,” Journal of Mathematical Analysis and Applications, vol 298, no 1, pp 279–291, 2004 G Marino and H K Xu, A general iterative method for nonexpansive ... following variational inequality: f − I q, p − q ≤ ∀p ∈ Ω 3.31 Taking A I, γ and f ≡ u ∈ C is a constant in Theorem 3.1, we get the results of Iiduka and Takahash...

Ngày tải lên: 22/06/2014, 02:20

... A, C / ∅, C3 Ay ≤ Ay − Au for all y ∈ C and u ∈ V I A, C Iiduka and Takahashi introduced the following algorithm for finding a solution of the variational inequality for an operator A that satisfies ... Fixed Point Theory and Its Applications, Yokohama, Yokohama, Japan, 2000 21 W Takahashi, Convex Analysis and Approximation of Fixed Points, vol of Mathematical Anal...

Ngày tải lên: 22/06/2014, 11:20

... pseudocontractive mappings,” Advances in Nonlinear Variational Inequalities, vol 6, no 2, pp 91–99, 2003 [8] R U Verma, “Generalized system for relaxed cocoercive variational inequalities and projection ... quadratic programming, and variational problems In this paper, we consider, based on the projection method, the approximation solvability of a system of n...

Ngày tải lên: 22/06/2014, 18:20

... Hilbert spaces, Journal of Mathematical Analysis and Applications 318 (2006) 43–52 [10] N Nadezhkina and W Takahashi, Strong convergence theorem by a hybrid method for nonexpansive mappings and Lipschitz ... for variational inequality problems and fixed point problems of a nonexpansive semigroup in Hilbert spaces, Journal of Applied Mathematics and Informatic...

Ngày tải lên: 14/10/2015, 08:17