Báo cáo hóa học: " WEAK AND STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES SACHIKO ATSUSHIBA AND WATARU TAKAHASHI " doc
Báo cáo hóa học: " WEAK AND STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES SACHIKO ATSUSHIBA AND WATARU TAKAHASHI " doc
... CONVERGENCE THEOREMS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES SACHIKO ATSUSHIBA AND WATARU TAKAHASHI Received 24 February 2005We introduce an implicit iterative process for a nonexpansive ... Strong convergence theorems for finite quasi -nonexpansive mappings, Comm. Appl.Nonlinear Anal. 9 (2002), no. 3, 57–68.[2] , Strong convergence theorems for finite nonexpansive mappings in B anach spaces ... fixed point theory for nonexpansive mappings, Pacific J. Math. 40 (1972), 565–573.[9] N. Hirano, K. Kido, and W. Takahashi, Nonexpansive retractions and nonlinear ergodic theorems in Banach spaces, ...
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Báo cáo hóa học: "Research Article Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals Satit Saejung" ppt
... 2005.5 W. Takahashi, Y. Takeuchi, and R. Kubota, Strong convergence theorems by hybrid methods for fam-ilies of nonexpansive mappings in Hilbert spaces, ” Journal of Mathematical Analysis and Applications,vol. ... He and R. Chen, Strong convergence theorems of the CQ method for nonexpansive semigroups, ”Fixed Point Theory and Applications, vol. 2007, Article ID 59735, 8 pages, 2007.4 T. Suzuki, Strong ... 2133–2136, 2003.2 K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive mappings and non-expansive semigroups, ” Journal of Mathematical Analysis and Applications, vol. 279, no....
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Báo cáo hóa học: " The modified general iterative methods for nonexpansive semigroups in banach spaces†" ppt
... fixed pointsof a nonexpansive mapping on a real Hilbert space H:minx∈C12Ax, x−x, b,(1:7)where C is the fixed point set of a nonexpansive mapping T on H and b is a givenpoint in H. In ... and Preechasilp: The modified general iterative methods for nonexpansive semigroups in banach spaces †. Fixed Point Theory and Applications 2011 2011:76.Wangkeeree and Preechasilp Fixed Point ... Following Browder [7], we say that a Banach space E has aweakly continuous duality mapping if there exists a gauge for which the duality map-ping J(x) is sing le-valued and continuous...
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Báo cáo hóa học: " Research Article Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces" pot
... Tianjin Natural Science Foundation in China Grant no.06YFJMJC12500.2 Fixed Point Theory and Applications for fixed points of nonexpansive mapping T in Banach space and also prove weak and strong convergence ... study weak and strong convergence theorems for common fixed points of afinite family of nonexpansive mappings {Ti}Ni1 in Banach spaces. Theorem 2.3. Let E be a real uniformly convex Banach ... family of nonexpansive mappings{Ti}Ni1 in Banach spaces and also prove weak and strong convergence theorems. Observe that if K is a nonempty closed convex subset of a real Banach space E and T...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems for Strict Pseudocontractions in Uniformly Convex Banach Spaces" pot
... iteration and the modified Ishikawa iteration, Zhou 3obtained some weak and strong convergence theorems for λ-strict pseudocontractions in Hilbert spaces which extend the corresponding results in ... following four aspects: 1 in contrast to weak convergence results in 2–4 ,strong convergence theorems of the modified Mann iterative sequence are obtained in p-uniformlyconvex Banach spaces; ... of nonlinear mappings in Hilbertspace,” Journal of Mathematical Analysis and Applications, vol. 20, pp. 197–228, 1967.2 G. Marino and H K. Xu, Weak and strong convergence theorems for strict...
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Báo cáo hóa học: "Research Article Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space Yi-An Chen" ppt
... Genel and J. Lindenstrauss, “An example concerning fixed points,” Israel Journal of Mathematics,vol. 22, no. 1, pp. 81–86, 1975.7 K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive ... Anthony To Ming LauWe introduce a modified Ishikawa iterative process for approximating a fixed point of two in nitely nonexpansive self-mappings by using the hybrid method in a Hilbert space and provethat ... PCn∩Qnxq,n≥ q1.3 and prove, {xn} converges strongly to a fixed point of {T1n} and {T2n}.We will use the notation: for weak convergence and → for strong convergence. ωwxn{x...
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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
... 3andT1 T2 T3 T in Theorem 3.4, we obtain strong convergence theorem for Noor iteration scheme with error for asymptotically nonexpansive mapping T in the intermediate sense in Banach ... establish strong convergence theorem for multi-step iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in Banach spaces. Our resultsextend and improve ... establish a strong convergence theorem for commonfixed points of the multistep iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in a uniformly convex Banach...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings" pdf
... Reich, Weak convergence theorems for nonexpansive mappings in Banach spaces, ” Journal ofMathematical Analysis and Applications, vol. 67, no. 2, pp. 274–276, 1979.[5] T H. Kim and H K. Xu, Strong ... certain control conditions for modifiedMann iteration,” to appear in Nonlinear Analysis: Theory, Methods & Applications .[7] W. Takahashi and K. Shimoji, Convergence theorems for nonexpansive ... process (1.6) converges weakly to a point in F(T). Therefore,many authors try to modify Mann’s iteration process to have strong convergence. Kim and Xu [5] introduced the following iteration process:x0=...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems of the CQ Method for Nonexpansive Semigroups Huimin He and Rudong Chen" pptx
... Shioji and W. Takahashi, Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces, ” Nonlinear Analysis, vol. 34, no. 1, pp. 87–99, 1998.[3] T. Suzuki, “On strong convergence ... 8pages, 2007.[9] K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, ” Journal of Mathematical Analysis and Applications, vol. 279, ... Suzuki, we show strong convergence theorems of the CQ method for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematicalprogramming. The results presented extend and improve...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems by Shrinking Projection Methods for Class T Mappings" pptx
... easily obtain hybrid methods introduced by Nakajo and Takahashi 3 for a nonexpansive mapping.Recently, Takahashi et al. 4 proposed a shrinking projection method for nonexpan-sive mappings Tn: ... H.Inspired by Bauschke and Combettes 1 and Takahashi et al. 4, we present ashrinking projection method for the class of T mappings. Furthermore, we obtain a shrinkingprojection method for ... method for a nonexpansive mapping on Hilbert spaces, which is the same aspresented by Takahashi et al. 4.We will use the following notations:1 for weak convergence and → for strong convergence; 2...
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