weak implies strong convergence
Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" pdf
... conditions of strong convergence theorem are different from the strong convergence theorems for the implicit iterative processes in the literatures.Finally, we discuss a strong convergence theorem ... Takahashi, W: Weak and strong convergence theorems for relatively nonexpansive mappings in Banachspaces. Fixed Point Theory Appl 37–47 (2004). 200421. Matsushita, S, Takahashi, W: A strong convergence ... we first consider weak convergence theorems of implicit iterativeprocesses for two nonexpansive mappings and a mapping which satisfies condition (C).Next, we consider strong convergence theorem...
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Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" doc
... conditions of strong convergence theorem are different from the strong convergence theorems for the implicit iterative processes in the literatures.Finally, we discuss a strong convergence theorem ... Takahashi, W: Weak and strong convergence theorems for relatively nonexpansive mappings in Banachspaces. Fixed Point Theory Appl 37–47 (2004). 200421. Matsushita, S, Takahashi, W: A strong convergence ... we first consider weak convergence theorems of implicit iterativeprocesses for two nonexpansive mappings and a mapping which satisfies condition (C).Next, we consider strong convergence theorem...
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WEAK COURTS, STRONG RIGHTS doc
... amendmentprocess.I call the new model of judicial review weak- form judicial review, in con-trast with the strong form of judicial review in the United States. Strong- formreview itself has numerous variants. ... provide a measure of the degree to which the HRAcreates a weak or strong form of judicial review. The HRA system would beindistinguishable from strong- form review if statutes that courts declared ... States as weak- form. The contemporary Supreme Court certainly re-gards judicial review as having the strong form, and much of the public ap-pears to agree.40Exactly when we got strong- form...
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Báo cáo toán học: " Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval" pptx
... W: Weak and strong convergence theorems for families of nonexpansivemappings and their applications. Ann. Univ. Mariae Curie-Sklodowska 51, 277–292(1997)[21] Takahashi, W, Shimoji, K: Convergence ... sufficient condition for the convergence ofIshikawa iteration on an arbitrary interval. J. Math. Anal. Appl. 323, 1383–1386(2006)[8] Atsushiba, S, Takahashi, W: Strong convergence theorems for ... sufficient conditionfor the strong convergence of the proposed iterative methods for continuous map-pings on an arbitrary interval is given. We also compare the rate of convergence ofthose iterations....
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Báo cáo hóa học: " Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems" ppt
... Xu, HK: Strong convergence of the CQ method for fixed point processes. Nonlinear Anal. 64,2400–2411 (2006). doi:10.1016/j.na.2005.08.01828. Ceng, LC, Hadjisavvas, N, Wong, NC: Strong convergence ... doi:10.1007/s10898-009-9454-729. Opial, Z: Weak convergence of the sequence of successive approximations of nonexpansive mappings. Bull Am MathSoc. 73, 595–597 (1967)30. Shimoji, K, Takahashi, W: Strong convergence to ... Xu, HK, Kim, TH: Convergence of hybrid steepest-descent methods for variational inequalities. J Optimiz Theory Appl.119(1), 185–201 (2003)10. Takahashi, W, Toyoda, M: Weak convergence theorems...
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Báo cáo hóa học: " Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities" potx
... ε-approximate fixed points ofT, i.e., Fε(T; D)={x Î D :||x - Tx|| ≤ ε }. Weak convergence is denoted by ⇀ and strong convergence is denoted by ®.3 Main resultsTheorem 3.1 Let S be a semigroup, ... solutions of variational inequality for b-inverse stronglymonotone mapping in a real Hilbert space. Under suitable conditions, we prove the strong convergence theorem for approximating a common ... implica-tion holds:xn→ u ∈ C, Txn→ vimplyTu = v,where ® (resp. ⇀) denotes strong (resp. weak) convergence. Lemma 2.2 [17]LetCbeanonemptyclosedconvexsubsetofaHilbertspaceHandsuppose...
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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
... subset of H.Wewritexn⇀ x to indicate that the sequence {xn}con-verges weakly to x,andxn® x implies that {xn} converges strongly to x. For everypoint x Î H, there exists a unique nearest poi ... A strong 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 ... C, f is a contraction, A is a strongly positive lin-ear bounded operator, Tnis a countable family of nonexpansive mappings of C intoitself, B is a b-inverse strongly monotone mapping, {an}...
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Báo cáo hóa học: " A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space" pptx
... Strong convergence theorem for a generalized equilibrium problem and a k-strictpseudocontraction in Hilbert spaces. Appl Math Mech , English 2009, 30(6):685-694.4. Peng JW, Yao JC: Strong convergence ... be a real Banach space, and {xn}beasequenceinE.Wedenotebyxn® x andxn⇀ x the strong convergence and weak convergence of {xn}, respectively. The normal-ized duality mapping J : E ® 2E*is ... Fixed Point Theory Appl 2008, 2008:11, (Article ID 528476).9. Takahashi W, Zembayashi K: Strong and weak convergence theorems for equilibrium problems and relativelynonexpansive mappings in Banach...
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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
... doi:10.1016/j.na.2008.02.0424. Iiduka, H, Takahashi, W: Weak convergence theorem by Ces’aro means for nonexpansive mappings and inverse-stronglymonotone mappings. J Nonlinear Convex Anal. 7, ... Math Anal Appl. 20,197–228 (1967). doi:10.1016/0022-247X(67)90085-69. Marino, G, Xu, HK: Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces. J Math AnalAppl. ... strict pseudo-contractions. Strong convergence theorem of the purposed iteration is established inthe framework of Hilbert spaces.Keywords: nonexpansive mappings, strongly positive operator,...
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Báo cáo hóa học: " Strong convergence theorems for equilibrium problems and fixed point problems: A new iterative method, some comments and applications" pptx
... paper, the set of fixed points of T is denoted by F(T). We use symbols ® and⇀ to denote strong and weak convergence, respectively.For each point x Î H, there exists a unique nearest point in ... Nonlinear Anal.69, 2709–2719 (2008). doi:10.1016/j.na.2007.08.0459. Tada, A, Takahashi, W: Weak and strong convergence theorems for a nonexpansive mapping and an equilibriumproblem. J Optim Theory ... expansive.(2) v-strongly monotone if there exists a constant v>0 such thatTx − Ty, x −y≥v||x −y||2, ∀x,y∈ C.Clearly, any v-strongly monotone mapping is v-expansive.(3) u-inverse strongly...
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báo cáo hóa học: " Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense" pot
... obtain strong conver-gence theorems that extend and improve the corresponding results [3,4,13,14].We will adopt the following notations:1. ⇀ for the weak convergence and ® for the strong convergence. 2.ωw(xn)={x ... Nonlinear Anal. 70, 1902–1911 (2009). doi:10.1016/j.na.2008.02.09014. Tada, A, Takahashi, W: Weak and strong convergence theorems for a nonexpansive mappingand a equilibriumproblem. J Optim Theory ... HK: Weak and srong convergence theorems for strict pseudo-contractions in Hlibert spaces. J Math AnalAppl. 329, 336–346 (2007). doi:10.1016/j.jmaa.2006.06.05511. Takahashi, S, Takahashi, W: Strong...
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Báo cáo hóa học: " Research Article A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces" pptx
... Takahashi, Strong convergence of a proximal-type algorithm in a Banachspace,” SIAM Journal on Optimization, vol. 13, no. 3, pp. 938–945, 2002.24 F. Kohsaka and W. Takahashi, Strong convergence ... 14 Fixed Point Theory and Applications19 W. Takahashi and Kei Zembayashi, Strong and weak convergence theorems for equilibriumproblems and relatively nonexpansive mappings i n Banach ... pp. 15–50, Marcel Dekker, New York, NY, USA,1996.2 S Y. Matsushita and W. Takahashi, Weak and strong convergence theorems for relativelynonexpansive mappings in Banach spaces,” Fixed Point...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems by Shrinking Projection Methods for Class T Mappings" pptx
... 4.We will use the following notations:1 for weak convergence and → for strong convergence; 2 ωwxn{x : ∃xnjx} denotes the weak ω-limit of {xn}.We need some facts and tools ... Universities Grant ZXH2009D021.References1 H. H. Bauschke and P. L. Combettes, “A weak- to -strong convergence principle for Fej´er-monotonemethods in Hilbert spaces,” Mathematics of Operations ... AdvancedMathematics, Cambridge University Press, Cambridge, UK, 1990.6 C. Martinez-Yanes and H K. Xu, Strong convergence of the CQ method for fixed point iterationprocesses,” Nonlinear Analysis. Theory,...
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