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

... heorems 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 ... Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces Somyot Plubtieng and Kasamsuk Ungchittrakool...

Ngày tải lên: 21/06/2014, 23:20

... system of variational inclusions/inequalities arise in applications to variational problems and engineering, see; for example, 1–31. Variational inclusions/inequalities can be viewed as innovative ... innovative and novel extension of the variational principles. Inspired and motivated by research going on in this area, we introduce and consider a new system of extend...

Ngày tải lên: 21/06/2014, 06:20

... r n1 | , 3.18 Journal of Inequalities and Applications 5 the set of fixed points of a nonexpansive mapping, the set of solutions of the variational inequalities for a relaxed cocoercive mapping, and the set of solutions ... α n  Ty n , 1.8 for approximating a common element of the set of fixed points of a nonexpansive nonself mapping and the set of soluti...

Ngày tải lên: 21/06/2014, 07:20

... family of relatively nonexpansive mappings in a Banach space. We first prove that the fixed -point set of this operator is identical to the set of all common fixed points of the mappings. Next, using ... family of nonexpansive mappings in Banach spaces. Let C beanonemptyclosedconvexsubsetofaBanachspaceE and let {T i } m i =1 be a finite family of nonexpansive...

Ngày tải lên: 22/06/2014, 22:20

... defining convergent and Cauchy sequences in the terms of interior points of the underlying cone. These and other authors see, e.g., 8–22 proved some fixed point and common fixed point theorems for ... ·  d  fx,gx   d  fy,gy  , 3.25 Fixed Point T heory and Applications 5 Recall that a point u ∈ X is called a coincidence point of the pair f, g and v i...

Ngày tải lên: 21/06/2014, 11:20

... 2008. 18 S. Plubtieng and R. Punpaeng, “A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings, ” Applied Mathematics and Computation, ... Kumam and P. Katchang, “A viscosity of extragradient approximation method for finding equi- librium problems, variational inequalities and fixed point prob...

Ngày tải lên: 21/06/2014, 05:20

... equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings, ” Applied Mathematics and Computation, vol. 197, no. 2, pp. 548–558, 2008. 12 X. Qin, M. Shang, and Y. ... 199–215, 2010. 9 P. Kumam, “A hybrid approximation method for equilibrium and fixed point problems for a monotone mapping and a nonexpansive mapping,” Nonl...

Ngày tải lên: 21/06/2014, 07:20

... mapping T if x ∈ Tx. We use the notation FixT standing for the set of fixed points of a mapping T and Fixt ∩ FixT standing for the set of common fixed points of t and T. Precisely, a point ... compact convex subset of a uniformly convex Banach space X ,and let t : E → E and T : E → FBE be a single-valued and a multivalued nonexpansive mapping, 6 Fixed...

Ngày tải lên: 21/06/2014, 11:20

... C. Liou, and J C. Yao, “Convergence theorem for equilibrium problems and fixed point problems of in nite family of nonexpansive mappings, ” Fixed Point Theory and Applications, vol. 2007, Article ... element of the set of solutions of generalized equilibrium problems, the set of common fixed points of in nitely many nonexpansive mappings, and the set...

Ngày tải lên: 21/06/2014, 20:20

... mapping. They also introduced and studied a new class of nonlinear varia- tional inclusions involving maximal η-monotone mapping in Hilbert spaces. Motivated and inspired by the research work going ... going on in this field, we introduce and study a new class of generalized nonlinear set-valued quasivariational inclusions involv- ing generalized m-accretive mappings in Ba...

Ngày tải lên: 22/06/2014, 18:20