Báo cáo hóa học: "WEAK AND STRONG CONVERGENCE OF FINITE FAMILY WITH ERRORS OF NONEXPANSIVE NONSELF-MAPPINGS" docx
Báo cáo hóa học: "WEAK AND STRONG CONVERGENCE OF FINITE FAMILY WITH ERRORS OF NONEXPANSIVE NONSELF-MAPPINGS" docx
... convergence theorems of the multistep iterative scheme with errors for a finite family of nonexpansive nonself-mappings. More precisely, we prove weak convergence of these implicit iterationWEAK AND STRONG CONVERGENCE ... with the study of a multistep iterative scheme with errors involvinga finite family of nonexpansive nonself-mappings. We approximate the common fixedpoints of a finite family of nonexpansive nonself-mappings ... CONVERGENCE OF FINITE FAMILY WITH ERRORS OF NONEXPANSIVE NONSELF-MAPPINGSS. PLUBTIENG AND K. UNGCHITTRAKOOLReceived 27 September 2005; Revised 5 May 2006; Accepted 8 May 2006We are concerned with...
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Báo cáo hóa học: " WEAK AND STRONG CONVERGENCE THEOREMS FOR RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES" ppt
... 226–240.[5] , Strong convergence of a proximal-type algorithm in a Banach space,SIAMJ.Optim.13(2002), no. 3, 938–945.[6] W. A. Kirk and B. Sims, Convergence of Picard iterates of nonexpansive ... beaBanachspacewithnorm· and let E∗be the dual of E. Then we denote byx, x∗ the pairing between x ∈ E and x∗∈ E∗.When{xn} is a sequence in E, we denotethe strong convergence and the weak convergence ... relatively nonexpansive. Using Theorem 3.2, we obtain the desired result. 38 Weak and strong convergence theoremsOn the other hand, Reich [13] studied an iteration sequence of nonexpansive...
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Báo cáo hóa học: " WEAK AND STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES SACHIKO ATSUSHIBA AND WATARU TAKAHASHI " doc
... {xn} converges strongly toa common fixed point of T and U.Let C be a closed convex subset of a Banach space E and let ={T(t):t ∈ [0,∞)}be a family of nonexpansive mappings of C into itself. ... converges strongly to a fixed point of T.346 Weak and strong convergence theoremsa nonexpansive semigroup of C. We consider the follow i ng iterative procedure (see [21]):x0= x ∈ C and xn= ... Next,wegiveanecessaryandsufficient condition for the strong convergence of theiterates.Theorem 4.2. Let C be a nonempty weakly compact convex subset of a Banach space E and let ={T(t):t ∈ S} be a nonexpansive...
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Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" pdf
... Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings. Nonlinear Anal. 65, 1149–1156 (2005)7. Fukhar-ud-din, H, Khan, SH: Convergence of iterates with ... properties and applications. Theory and Applications of Nonlinear Operators of Accretive and Monotone Type. pp. 15–50.Dekker, New York (1996)15. Kamimura, S, Takahashi, W: Strong convergence of a ... processfor two nonexpansive mappings and a relative nonexpansive mapping on Banachspaces. Note that the conditions of strong convergence theorem are different from the strong convergence theorems...
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Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" doc
... Banach space and let E* b e the dual space of E. For asequence {xn}ofE and a point x Î E, the weak convergence of {xn}tox and the strong convergence of {xn}tox are denoted by xn⇀ x and xn® ... Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings. Nonlinear Anal. 65, 1149–1156 (2005)7. Fukhar-ud-din, H, Khan, SH: Convergence of iterates with ... convex and uniformly smooth Banach space with condition ( Q), and let C beanonemptyclosedconvexsubsetofE,andletT1, T2: C® C be two nonexpansive mappings, and let S: C ® C be a relatively nonexpansive mapping....
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Báo cáo hóa học: " Research Article Strong Convergence Theorems for Common Fixed Points of Multistep Iterations with Errors in Banach Spaces" pdf
... purpose of this paper is to establish a strong convergence theorem for commonfixed points of the multistep iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate ... establish strong convergence theorem for multi-step iterative scheme with errors forasymptotically nonexpansive mappings in the intermediate sense in Banach spaces. Our resultsextend and improve ... 3.4 generalizes Theorem 3.4 of Plubtieng and Wangkeeree 2 froma asymptotically nonexpansive mappings in the intermediate sense to a finite family of asymptotically nonexpansive mappings in the...
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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
... Our results extend and improve the recent results of Nakajo and Takahashi 2003 and of Zegeye and Shahzad 2008 from the class of nonexpansive mappings to asymptotically nonexpansive mappings.1. ... method, and to prove strong convergence theorems.In 2008, Takahashi et al. 7 proved strong convergence theorems by the new hybridmethods for a family of nonexpansive mappings and nonexpansive semigroups ... points of nonexpanding maps,” Bulletin of the American Mathematical Society, vol.73, pp. 957–961, 1967.3 K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive...
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báo cáo hóa học:" Research Article Strong Convergence of a New Iterative Method for Infinite Family of Generalized Equilibrium and Fixed-Point Problems of Nonexpansive Mappings in Hilbert Spaces" pptx
... element of the set of solutions of aninfinite family of equilibrium problems and the set of fixed points of a finite family of nonexpansive mappings in a Hilbert space. We prove some strong convergence ... for finding a common element of the set of a finite family of nonexpansive mappings and the set of solutions of an equilibrium problem, by combiningthe schemes 1.11 and 1.17, Colao et al. 5 ... for a finite family of nonexpansive mappings and applications,” Indian Journal of Mathematics, vol. 41, no. 3, pp. 435–453, 1999.27 T. Suzuki, Strong convergence of Krasnoselskii and Mann’s...
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Báo cáo hóa học: " Research Article Strong Convergence Theorem by Monotone Hybrid Algorithm for Equilibrium Problems, Hemirelatively Nonexpansive Mappings, and Maximal Monotone Operators" pdf
... element of the set of fixed points of hemirelatively nonexpansive mappings and the set of solutions of an equilibriumproblem and for finding a common element of the set of zero points of maximal ... element of the set of solutions of an equilibrium problem and theset of fixed points of a hemirelatively nonexpansive mapping and for finding a commonelement of the set of zero points of maximal ... common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a uniformly convex and uniformly smooth8 Fixed Point Theory and ApplicationsTherefore,...
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Báo cáo hóa học: " Research Article Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings" pot
... Article Strong Convergence of MonotoneHybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive MappingsChakkrid Klin-eam and Suthep SuantaiDepartment of Mathematics, Faculty of ... problem of finding a common element of the fixed point of nonlinear mappings and the set of solutions of a variational inequality in the framework of Hilbert spaces see; for instance, 1–11 and thereference ... and R be the sets of all positive integers and real numbers, respectively. Let E be a Banach space and let E∗be the dual space of E. Fora sequence {xn} of E and a point x ∈ E, the weak convergence...
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