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weak and strong convergence in hilbert spaces

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Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" pdf

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... 1110. Xu, HK: Inequalities in Banach spaces with applications. Nonlinear Anal. 16, 1127–1138 (1991). doi:10.1016/0362-546X(91)90200-K11. Schu, J: Weak and strong convergence to fixed points of asymptotically ... strong convergence theorem of an implicit-shrinking iterative processfor two nonexpansive mappings and a relative nonexpansive mapping on Banach spaces. Note that the conditions of strong convergence ... different from the strong convergence theorems for the implicit iterative processes in the literatures.Finally, we discuss a strong convergence theorem concerning two nonexpansivemappings and the resolvent...
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Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" doc

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... quasinonexpansive mapping. However, the converse may be false [1, Example 2].Construction of approximating fixed points of nonlinear mappings is an importantsubject in the theory of nonlinear mappings and its ... cn=Lin et al. Fixed Point Theory and Applications 2011, 2011:96http://www.fixedpointtheoryandapplications.com/content/2011/1/96Page 14 of 2012. James, RC: Inner products in normed linear spaces. ... 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®...
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Báo cáo hóa học: " Research Article Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense" pptx

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... 3502–3511,2009.8 M. O. Osilike and S. C. Aniagbosor, Weak and strong convergence theorems for fixed points ofasymptotically nonexpansive mappings,” Mathematical and Computer Modelling, vol. 32, no. 10, ... Xu, Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, ” Journal of Mathematical Analysis and Applications, vol. 329, no. 1, pp. 336–346, 2007.Fixed Point ... κ-strict pseudocontractions was introduced by Qihou 4 in 1996see also 5.KimandXu6 studied weak and strong convergence theorems for this classof mappings. It is important to note that...
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Báo cáo hóa học: " Research Article An Application of Hybrid Steepest Descent Methods for Equilibrium Problems and Strict Pseudocontractions in Hilbert Spaces" pdf

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... North-Holland, Amsterdam, The Netherlands, 2001.11 H. Iiduka and W. Takahashi, Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings,” Nonlinear Analysis: ... and StrictPseudocontractions in Hilbert Spaces Ming TianCollege of Science, Civil Aviation University of China, Tianjin 300300, ChinaCorrespondence should be addressed to Ming Tian, tianming1963@126.comReceived ... pseudocontraction mapping in thesetting of real Hilbert spaces. We proved strong convergence theorems of the sequence generatedby our proposed schemes.1. IntroductionLet H be a real Hilbert space and C a...
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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

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... Combettes and S. A. Hirstoaga, “Equilibrium programming in Hilbert spaces, ” Journal ofNonlinear and Convex Analysis, vol. 6, no. 1, pp. 117–136, 2005.24 W. Takahashi, Weak and strong convergence ... Methodfor In nite Family of Generalized Equilibrium and Fixed-Point Problems of Nonexpansive Mappings in Hilbert Spaces Shenghua Wang1, 2 and Baohua Guo1, 21National Engineering Laboratory ... Wang, G. Marino, and F. H. Wang, Strong convergence theorems for a generalized equilibriumproblem with a relaxed monotone mapping and a countable family of nonexpansive mappings in a hilbert space,”...
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Báo cáo hóa học: " Research Article A Weak Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces" potx

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... PseudocontractiveMappings in Hilbert Spaces Xiaolong Qin,1Sun Young Cho,2 and Shin Min Kang31School of Mathematics and Information Sciences, North China University of Water Resources and Electric ... mappings. A weak convergence theorem of fixed points is established in theframework of Hilbert spaces. 1. Introduction and PreliminariesThroughout this paper, we always assume that H is a real Hilbert ... pseudocontractions was introduced by Browder and Petryshyn 11 in areal Hilbert space. In 2007, Marino and Xu 12 obtained a weak convergence theorem for theclass of strictly pseudocontractive mappings; see...
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Báo cáo hóa học:

Báo cáo hóa học: " Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces" doc

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... nonexpansive mappings in Hilbert spaces. 2010 International Conference on Computational Intelligence and Software Engineering, CiSE 2010(2010). art. no. 56770647. Maingé, PE: Strong convergence ... Access Strong convergent result for quasi-nonexpansivemappings in Hilbert spaces Ming Tian* and Xin Jin* Correspondence:tianming1963@126.comCollege of Science, Civil AviationUniversity of China, ... nonexpan-sive mapping T. In 2009, Maingè [4] considered the viscosity approximation method (1.1), and expanded the strong convergence to quasi-nonexpansive mappings in Hilbert space. In 2010, Tian...
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Báo cáo hóa học: " On relaxed and contraction-proximal point algorithms in hilbert spaces" doc

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... as: Wang and Wang: On relaxed and contraction-proximal point algorithms in hilbert spaces. Journal of Inequalities and Applications 2011 2011:41.Submit your manuscript to a journal and benefi ... University,Luoyang 471022, ChinaAbstractWe consider the relaxed and contraction-proximal point algorithms in Hilbert spaces. Some conditions on the parameters for gu aranteeing the convergence of thealgorithm ... ∞,where˜xn= Jcn(xn+ en). In 2001, Han and He [2] proved that in finite dimensional Hilbert space criterion (II) can be replaced byWang and Wang Journal of Inequalities and Applications 2011, 2011:41http://www.journalofinequalitiesandapplications.com/content/2011/1/41©...
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Báo cáo hóa học: " Regularization and iterative method for general variational inequality problem in hilbert spaces" pptx

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... and reproduction in any medium, provided the original work is properly cited.monotone mapping, T: K ® Hbel-inverse strongly monotone mapping. If g is anexpanding affine continuous mapping and ... I - F is an inverse strongly mono-tone mapping, and the fixed points set of mapping F and the solution set S(I - F)areequal. This means that our results contain the study of finding a common ... results and definitions.Definition2.1.LetA: H ® H be a mapping and K ⊂ H.Then,A is said to be semi-continuous at a point x in K iflimt→0A(x + th), y = A(x), y, x + th ∈ K, y ∈ H.Definition2.2....
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Báo cáo hóa học: " Research Article Convergence of Paths for Perturbed Maximal Monotone Mappings in Hilbert Spaces" potx

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... pagesdoi:10.1155/2010/547828Research Article Convergence of Paths for Perturbed MaximalMonotone Mappings in Hilbert Spaces Yuan Qing,1Xiaolong Qin,1Haiyun Zhou,2 and Shin Min Kang31Department of Mathematics, ... RA to denote the domain and the range of the mapping A. → and  denote strong and weak convergence, respectively.Recall the following well-known definitions.1 A mapping A : C → H is said ... T is said to behemicontinuous if it is continuous from each line segment in X to the weak topology in X∗.7 The mapping f with the domain Df and the range Rf in H is said to bepseudocontractive...
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Báo cáo hóa học: " Research Article A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces Urailuk Singthong1 and Suthep Suantai1, 2" potx

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... 1.2 converges weakly to a point in FT.Therefore, many authors try to modify Mann’s iteration process to have strong convergence. In 2005, Kim and Xu 3 introduced the following iteration ... mapping Knis called the K-mapping generated by T1, ,TN and γn,1,γn,2, ,γn,N. In this paper, motivated by Kim and Xu 3,MarinoandXu10,Xu5, Yao et al. 4,andShang et al. 8, we introduce ... original work is properly cited.We introduce a new general iterative method by using the K-mapping for finding a common fixedpoint of a finite family of nonexpansive mappings in the framework of Hilbert...
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