Báo cáo hóa học: "STRONG CONVERGENCE TO COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS WITHOUT COMMUTATIVITY ASSUMPTION" pptx
Báo cáo hóa học: "STRONG CONVERGENCE TO COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS WITHOUT COMMUTATIVITY ASSUMPTION" pptx
... havey − Px,x − Px≤0 (3.4)for each y∈ F(S)F(T).STRONG CONVERGENCE TO COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS WITHOUT COMMUTATIVITY ASSUMPTIONYONGHONG YAO, RUDONG CHEN, AND HAIYUN ... subset of H.Amapping T of C into itself is said to be nonexpansive ifTx− Ty≤x − y, (1.1)for each x, y∈ C.ForamappingT of C into itself, we denote by F(T) the set of fixed points of T. We ... Strong convergence to common fixed points of families of nonexpan-sive mappings, Journal of Mathematical Analysis and Applications 211 (1997), no. 1, 71–83.[9] R. Wittmann, Approximationoffixedpointsofnonexpansivemappings,...
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Báo cáo hóa học: " Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities" potx
... using strongly monotone and lipschitzian operator, we introduce ageneral iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left ... nonempty closedconvex 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 points of T (i.e., Fix(T)={x ... element of the set of co mmon fixed point of a semigroup of nonex-pansive mappings and the set of solutions of variational inequality for b-inversestrongly monotone mapping which solves some...
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Báo cáo hóa học: " STRONG CONVERGENCE THEOREMS FOR INFINITE FAMILIES OF NONEXPANSIVE MAPPINGS IN GENERAL BANACH SPACES" ppt
... 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 ingeneral 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 Technology, 1-1 Sensuicho,Tobataku, ... j−1,(2.14)104 Convergence to common fixed pointThe author thinks this theorem is one of the most interesting convergence theoremsfor families of nonexpansive mappings. In the case of k = 4, this...
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Báo cáo hóa học: " Research Article Approximating Common Fixed Points of Lipschitzian Semigroup in Smooth Banach Spaces" pdf
... 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. Tan and H. K. Xu, Fixed point ... amenable semigroups of Lipschitzian mappings in Banach spaces,” to appear in Journal of Fixed Point Theory and Applications.33 R. D. Holmes and A. T. Lau, Nonexpansive actions of topological semigroups...
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Báo cáo hóa học: " Research Article Strong Convergence to Common Fixed Points of a Finite Family of Nonexpansive Mappings" docx
... “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 ontoD. If there is a sunny nonexpansive retraction of C onto D,thenD is said to be a sunny nonexpansive retraction of ... differentiable and let C beaclosedconvexsubsetofE.LetS, T be nonexpansive mappings of C into itself such that the set F(S)∩ F(T) of common fixed points of S and T is nonempty. Let x∈ C and let...
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báo cáo hóa học:" Research Article Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups" ppt
... “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 ... ⊂∞n1FTn, where FTN is the set of all fixed points of Tnand FT is the set of all common fixed points of T. We consider the followingconditions of {Tn} and T see 9:i NST-condition ... recent results of Nakajo and Takahashi 2003 and of Zegeye and Shahzad 2008 from the class of nonexpansive mappings to asymptotically nonexpansive mappings. 1. IntroductionThroughout this paper,...
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Báo cáo hóa học: " Research Article Strong Convergence of Modified Implicit Iteration Processes for Common Fixed Points of Nonexpansive Mappings" potx
... 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)isclosedandconvex.Construction of fixed points of nonexpansive mappings ... TnmodN, for common fixed points of a finite family of nonexpansive mappings {Ti}Ni=1in Hilbert spaces and to prove strong convergence theorems.We will use the notation (1) for weak convergence ... Iteration Processes for Common Fixed Points of Nonexpansive Mappings Fang Zhang and Yongfu SuReceived 21 December 2006; Accepted 19 March 2007Recommended by William Art KirkStrong convergence theorems...
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Báo cáo hóa học: " Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems" ppt
... com-mon e lement of the set of solution of a monotone, Lipschitz-continuous variationalinequality 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 6436332. Goebel, K, Kirk, WA: Topics in Metric Fixed Point ... Takahashi, W: Strong convergence to common fixed points of infinite nonexpasnsive mappings andapplications. Taiwan J Math. 5, 387–404 (2001)31. Yao, Y, Liou, Y-C, Yao, J-C: Convergence theorem...
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Báo cáo hóa học: "Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings" pdf
... finding a common element of the set of solutions of variational inequality and the set of common fixed points of a countablefamily 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 countablefamily of nonexpansive mappings and a solution of variational inequality of aninverse strongly monotone mapping ... converges strongly to a common element of the set of fixed points of nonexpansive mapping and the set of solutions of the variationalinequality for an inverse strongly monotone mapping (say¯x∈...
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Báo cáo hóa học: " Strong convergence theorem for a generalized equilibrium problem and system of variational inequalities problem and infinite family of strict pseudo-contractions" potx
... finding a common element of the set of a generalized equilibrium problem of the set of solution to a system of variationalinequalities, 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 a nonexpansive mapping of C into itself, then ... RE: Properties of fixed point sets of nonexpansive mappings in Banach spaces. Trans Am Math Soc. 179, 251–262(1973)14. Browder, FE: Nonlinear operators and nonlinear equations of evolution in...
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