Báo cáo hóa học: " Research Article A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces" docx

... Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces Prasit Cholamjiak School of Science and Technology, Naresuan University at Phayao, Phayao 56000, Thailand Correspondence ... 17 References 1 H. Iiduka and W. Takahashi, “Weak convergence of a projection algorithm for variational inequalities in a Banach sp...

Ngày tải lên: 22/06/2014, 11:20

... fixed points of an in nite family of nonexpansive mappings, and the set of solutions to the variational inequality for a monotone, Lipschitz continuous mapping in a Hilbert space and obtained ... set of a system of equilibrium problems, fixed points set of a family of in nitely nonexpansive mappings, and the solution set of a variational inequality for a r...

Ngày tải lên: 21/06/2014, 11:20

... this paper, motivated by Combettes and Hirstoaga [1], Moudafi [9], S. Takahashi and W. Takahashi [3], Marino and Xu [8], and Wittmann [10], we introduce a general iterative scheme as following: B  y n ,u  + 1 r n  u ... our algorithm with a variational regularization parameter {r n } has certain advantages over the algorithm with a fixed regularization parameter r. In s...

Ngày tải lên: 21/06/2014, 22:20

... S. Al-Homidan, Q. H. Ansari, and J C. Yao, “An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings,” Journal of Computational and Applied Mathematics, ... Bw  2  3.12 Fixed Point Theory and Applications 19 14 V. Colao, G. Marino, and H K. Xu, “An iterative method for finding common solutions of equilibri...

Ngày tải lên: 21/06/2014, 20:20

... Y. D. Shang and B. Guo, “Global attractors for a periodic initial value problem for dissipative generalized symmetric regularized long wave equations,” Acta Mathematica Scientia. Series A, vol. 23, ... 2003. 18 B. Guo and Y. Shang, “Approximate inertial manifolds to the generalized symmetric regularized long wave equations with damping term,” Acta Mathematicae Applicatae Sinica,...

Ngày tải lên: 21/06/2014, 11:20

... KRF-2008-313-C00050. References 1 S. Takahashi and W. Takahashi, “Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol. ... 2005. 19 V. Colao, G. Marino, and H K. Xu, “An iterative method for finding common solutions of equilibrium and fixed point problems...

Ngày tải lên: 21/06/2014, 11:20

... Analysis and Applications, vol. 67, no. 2, pp. 274–276, 1979. [13] S. Ishikawa, Fixed points and iteration of a nonexpansive mapping in a Banach space,” Proceed- ings of the American Mathematical ... nonexpansive mappings,” Journal of Mathematical Analysis and Applications, vol. 280, no. 2, pp. 364–374, 2003. [20] W. Takahashi, Nonlinear Functional Analysis. Fixed Point The...

Ngày tải lên: 22/06/2014, 19:20

... Analysis of Variational Inequalities, vol. 8 of Studies in Mathematics and Its Applications, North-Holland, Amsterdam, The Netherlands, 1981. 5 F. Giannessi and A. Maugeri, Variational Inequalities ... 4, Giannessi and Maugeri 5, and Kinderlehrer and Stampacciha 6. Iterative methods play an important role in solving variational inequalities. For example, if T...

Ngày tải lên: 21/06/2014, 20:20

... Mathematical Analysis and Applications, vol. 313, no. 1, pp. 273–283, 2006. 9 N. Shahzad and A. Udomene, Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach ... In nite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces Shenghua Wang, Lanxiang Yu, and Baohua Guo School of Mathematics and Physics...

Ngày tải lên: 21/06/2014, 23:20

... Analysis, Fixed Point Theory and Its Application, Yokohama, Yokohama, Japan, 2000. 2 L C. Ceng and J C. Yao, “Relaxed viscosity approximation methods for fixed point problems and variational inequality ... equilibrium problems, fixed points and variational inequality, ” Fixed Point Theory, vol. 9, no. 2, pp. 515–531, 2008. 17 S. D Fl ˚ am and A. S. Antip...

Ngày tải lên: 21/06/2014, 20:20