Mathematical methods for solving equilibrium, variational inequality and fixed point problems

... problem and a fixed point problem, the strategy is to combine a method for solving equilibrium problems with a method for solving fixed point problems Most of the methods for solving equilibrium problems ... CITY UNIVERSITY OF SCIENCES PHAN TU VUONG MATHEMATICAL METHODS FOR SOLVING EQUILIBRIUM, VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS...

Ngày tải lên: 21/05/2016, 22:17

... Fixed Point Theory and Applications, vol 2010, Article ID 230304, 22 pages, 2010 24 Y J Cho, S Wang, and X Qin, “A new iterative method for solving equilibrium problems and fixed point problems for ... Kumam and P Katchang, “A viscosity of extragradient approximation method for finding equilibrium problems, variational inequalities and fixed point problems...

Ngày tải lên: 21/06/2014, 05:20

... 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

... theorem by an extragradient method for fixed point problems and variational inequality problems Taiwanese J Math 10(5), 1293–1303 (2006) Moudafi, A: Viscosity approximation methods for fixed- points ... version Later on, Ceng and Yao [11] also introduced an extragradient-like approximation method, which is based on the above extragradient method and viscosity...

Ngày tải lên: 21/06/2014, 01:20

... integrals,” Journal of Mathematical Analysis and Applications, vol 305, no 1, pp 227–239, 2005 18 A Kangtunyakarn and S Suantai, “Hybrid iterative scheme for generalized equilibrium problems and ... iterative method for finding common solutions of equilibrium and fixed point problems, ” Journal of Mathematical Analysis and Applications, vol 344, no 1, pp 3...

Ngày tải lên: 21/06/2014, 11:20

... 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 a...

Ngày tải lên: 21/06/2014, 07:20

... 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

... smooth Banach spaces and uniformly convex Banach spaces are reflexive Now let E be a smooth and strictly convex reflexive Banach space As Alber [13] and Kamimura and Takahashi [14] did, the Lyapunov ... and generalized projection operators in Banach spaces: properities and applications In Theory and Applications of Nonlinear operators of Accretive and Monotone...

Ngày tải lên: 21/06/2014, 01:20

... 917–928, 2010 11 S.-S Zhang, J H W Lee, and C K Chan, Algorithms of common solutions to quasi variational inclusion and fixed point problems,” Applied Mathematics and Mechanics, vol 29, no 5, pp 571–581, ... 3065–3071, 2009 V Colao, G Marino, and H.-K Xu, “An iterative method for finding common solutions of equilibrium and fixed point problems,” Journal of Math...

Ngày tải lên: 21/06/2014, 11:20

... 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...

Ngày tải lên: 21/06/2014, 11:20

... 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, ” A...

Ngày tải lên: 21/06/2014, 20:20

... Faculty of Liberal Arts, Rajamangala University of Technology Rattanakosin (Rmutr), Bangkok 10100, Thailand 3Centre of Excellence in Mathematics, Che, Si Ayuthaya Road, Bangkok 10400, Thailand ... finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of fixed points of a nonexpansive mapping and the set of sol...

Ngày tải lên: 21/06/2014, 01:20

... Strong convergence theorems for equilibrium problems and fixed point problems: A new iterative method, some comments and applications Fixed Point Theory and Applications 2011 2011:33 Submit your manuscript ... Shang, MJ, Qin, XL: An iterative method of solution for equilibrium and optimization problems Nonlinear Anal 69, 2709–2719 (2008) doi:1...

Ngày tải lên: 21/06/2014, 01:20

... , and Kumam and Jaiboon 28 , we introduce a new shrinking projection method for finding a common element of the set of fixed points of strictly pseudocontractive mappings, the set of common solutions ... approximation method for finding a common element of the set of fixed point of strictly pseudocontractive mappings Journal of Inequalities...

Ngày tải lên: 21/06/2014, 05:20

... Takahashi, “Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces,” Fixed Point Theory and Applications, no 1, pp 37–47, 2004 S.-Y Matsushita and W Takahashi, ... equilibrium problems and fixed point problems in Banach spaces,” Journal of Computational and Applied Mathematics, vol 225, no 1, pp 20–30, 2009 15 A Tada an...

Ngày tải lên: 21/06/2014, 05:20