Báo cáo hóa học: "STRONG CONVERGENCE TO COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS WITHOUT COMMUTATIVITY ASSUMPTION" pptx

... have y − Px,x − Px≤0 (3.4) for each y ∈ F(S)  F(T). STRONG CONVERGENCE TO COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS WITHOUT COMMUTATIVITY ASSUMPTION YONGHONG YAO, RUDONG CHEN, AND HAIYUN ... subset of H.A mapping T of C into itself is said to be nonexpansive if Tx− Ty≤x − y, (1.1) for each x, y ∈ C.ForamappingT of C into itself, we denote by F(T) the se...

Ngày tải lên: 22/06/2014, 22:20

... using strongly monotone and lipschitzian operator, we introduce a general iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left ... nonempty closed convex subset of H.AmappingT of C into itself is called nonexpansive if || Tx - Ty ||≤|| x - y ||, for all x, y Î H.ByFix(T), we denote the set of fixed po...

Ngày tải lên: 20/06/2014, 22:20

... continuous semigroup of mappings is F(T(1)) ∩F(T( √ 2)), submitted to Proc. Amer. Math. Soc. [19] , Strong convergence theorem to common fixed points of two nonex pansive mappings in general Banach ... Approximation of fixed points of nonexpansive mappings, Arch.Math.(Basel)58 (1992), no. 5, 486–491. Tomonari Suzuki: Department of Mathematics, Kyushu Institute of...

Ngày tải lên: 23/06/2014, 00:20

... said to be a sunny nonexpansive retract of B if there exists a sunny nonexpansive retraction P of B onto D.WeknowthatifE is smooth and P is a retraction of B onto D, then P is sunny and nonexpansive ... convergence to fixed points of asymptotically nonexpansive mappings, ” Bulletin of the Australian Mathematical Society, vol. 43, no. 1, pp. 153–159, 1991. 27 K K. T...

Ngày tải lên: 21/06/2014, 23:20

... “Approximation of common fixed points of families of nonexpansive mappings, ” to appear in Taiwanese Journal of Mathematics. [7] R. Wittmann, “Approximation of fixed points of nonexpansive mappings, ” ... easy to show that there exists at most one sunny nonexpansive retraction of C onto D. If there is a sunny nonexpansive retraction of C onto D,thenD is said...

Ngày tải lên: 22/06/2014, 18:20

... “Strong convergence to common fixed points of families of nonexpansive mappings in Banach spaces,” Journal of Nonlinear and Convex Analysis, vol. 8, no. 1, pp. 11–34, 2007. 10 Z. Opial, “Weak convergence ... ⊂  ∞ n1 FT n , where FT N  is the set of all fixed points of T n and FT is the set of all common fixed points of T. We consider the following cond...

Ngày tải lên: 21/06/2014, 11:20

... point of T provided that Tx = x. Denote by F(T) the set of fixed points of T, that is, F(T) ={x ∈ C : Tx = x}. It is known that F(T)isclosedand convex. Construction of fixed points of nonexpansive mappings ... T nmodN , for common fixed points of a finite family of nonexpansive mappings {T i } N i =1 in Hilbert spaces and to prove strong convergence theorems. We...

Ngày tải lên: 22/06/2014, 19:20

... com- mon e lement of the set of solution of a monotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of Yao et al. Fixed Point Theory ... problems and fixed point problems of infinite family of nonexpansive mappings. Fixed Point Theory and Applications 2007, 12 (2007). Article ID 64363 32. Goebel, K...

Ngày tải lên: 20/06/2014, 22:20

... finding a common element of the set of solutions of variational inequality and the set of common fixed points of a countable family of nonexpansive mappings is introduced and studied. A strong convergence theorem ... convergence theorem of the proposed iterative scheme to a common fixed point of a countable family of nonexpansive mappings and a solu...

Ngày tải lên: 21/06/2014, 00:20

... finding a common element of the set of a generalized equilibrium problem of the set of solution to a system of variational inequalities, and of the set of fixed points of an infinite family of strict ... independent of the class of -strict pseudo-contractions. We denote by F(T) the set of fixed points of T.IfC ⊂ H is bounded, closed and con- vex and T is...

Ngày tải lên: 21/06/2014, 01:20