weak and strong mean convergence theorems for super hybrid mappings in hilbert spaces
Báo cáo hóa học: " Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces" doc
... point theorems for new nonlinear mappings in a Hilbert spaces. J Nonlinear Convex Anal. 11,79–88 (2010)17. Takahashi, W, Yao, JC: Fixed point theorems and ergodic theorems for nonlinear mappings ... nonexpansive mappings, nonspreading mappings, and hybrid mappings. We study the fixed point theorems of generalized hybrid mappings on CAT(0) spaces. We also consider some iterationprocesses for generalized ... generalized hybrid mappings on CAT(0) spaces, and our resultsgeneralize some results of fixed point theorems on CAT(0) spaces and Hilbert spaces. Keywords: nonexpansive mapping, fixed point, generalized...
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Báo cáo hóa học: " Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces" doc
... Access Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces Ming Tian* and Xin Jin* Correspondence:tianming1963@126.comCollege of Science, Civil AviationUniversity of China, ... process for quasi-nonexpansive mappings in Hilbert spaces. Comput MathAppl. 59(1), 74–79 (2009)5. Tian, M: A general iterative algorithm for nonexpansive mappings in Hilbert spaces. Nonlinear ... method based on the hybrid steepest descent scheme for nonexpansive mappings in Hilbert spaces. 2010 International Conference on Computational Intelligence and Software Engineering, CiSE 2010(2010)....
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Báo cáo hóa học: " Research Article Fixed Point Theorems for ws-Compact Mappings in Banach Spaces" ppt
... Functional Analysis. Theory and Applications, Holt, Rinehart and Winston, 1965.10 A. Ben Amar and J. Garcia-Falset, “Fixed point theorems for 1-set weakly contractive and pseudocontractive operators ... Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2010, Article ID 183596, 13 pagesdoi:10.1155/2010/183596Research ArticleFixed Point Theorems for ws-Compact Mappings ... continuous and for any weakly convergent sequence xnn∈N in M the sequence Axnn∈Nhas a strongly convergent subsequence in X. This concept arisesnaturally in the study of both integral...
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Báo cáo sinh học: " Fixed point and weak convergence theorems for point-dependent lambda-hybrid mappings in Banach spaces" doc
... [8] introduced a new class of nonlinear mappings in a Hilbert space containing the classes of nonexpansive mappings, nonspreading mappings and hybrid mappings. For λ ∈ R, they call a mapping ... point theorems and weak conver-gence theorems for generalized hybrid mappings in Hilbert spaces. TaiwaneseJ. Math. 14, 2497–2511 (2010)[7] Takahashi, W: Fixed point theorems for new nonlinear ... mappings in a Hilbert space. J. Nonlinear Convex Anal. 11, 79–88 (2010)[8] Aoyama, K, Iemoto, S, Kohsaka, F, Takahashi, W: Fixed point and ergodic theorems for λ -hybrid mappings in Hilbert spaces. ...
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báo cáo hóa học:" Fixed point and weak convergence theorems for point-dependent lambda-hybrid mappings in Banach spaces" pot
... [8] introduced a new class of nonlinear mappings in a Hilbert space containing the classes of nonexpansive mappings, nonspreading mappings and hybrid mappings. For λ ∈ R, they call a mapping ... Aoyama–Iemoto–Kohsaka–Takahashi fixed point theorem for λ -hybrid mappings in Hilbert spaces in 2010 to this much wider class of nonlinear mappings in Banach spaces. Secondly, we derive an Opial-like inequality for the Bregman ... Fully formattedPDF and full text (HTML) versions will be made available soon.Fixed point and weak convergence theorems for point-dependent lambda -hybrid mappings in Banach spaces Fixed Point...
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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
... Method for 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 for ... variational inequalities and fixed point problems for nonexpansive mappings, ”Nonlinear Analysis: Hybrid Systems, vol. 3, no. 4, pp. 475–486, 2009.14 A. Moudafi, Weak convergence theorems for nonexpansive ... 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
... Pseudocontractive Mappings 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 ... 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 ... pseudocontractive mappings in the intermediate sense wasintroduced by Qin et al. 20. Weak convergence theorems of fixed points were establishedbased on iterative methods; see 20 for more details. In this...
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Báo cáo hóa học: " Fixed point theorems for some new nonlinear mappings in Hilbert spaces" pptx
... the following fixed point theorems for nonexpansive mappings in Hilbert spaces. In 1965, Browder [1] gave the following demiclosed principle for nonexpansive map-pings in Hilbert spaces. Theorem ... theorems, ergodic theorems , demiclosed prin-ciples, and Ray’s type theorems for asymptotic nonspreading mappings and for asym p-totic TJ mappings in Hilbert spaces. 3.1: Fixed point theorems Theorem ... <a(x)+b(x) 2 for all x ẻ C.Remark 1.1. The class of asymptotic nonspreading mappings contains the class ofnonspreading mappings and the class of TJ-2 mappings in a Hilbert space. Indeed, in Definition...
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Báo cáo hóa học: " Fixed point theorems for some new nonlinear mappings in Hilbert spaces" pot
... theorems, ergodic theorems , demiclosed prin-ciples, and Ray’s type theorems for asymptotic nonspreading mappings and for asym p-totic TJ mappings in Hilbert spaces. 3.1: Fixed point theorems Theorem ... asymptotic nonspreading mappings contains the class ofnonspreading mappings and the class of TJ-2 mappings in a Hilbert space. Indeed, in Definition 1.1, we know that(i) if a (x)=b (x) = 1 for all x ... for nonspreading mappings in Hilbert spaces. Furthermore, Takahashi and Yao [9] also introduced two nonlinear mappings in Hil-bert spaces. A mapping T : C đ C is called a TJ-1 mapping [9] if2||Tx...
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Báo cáo hóa học: " Research Article Convergence of Paths for Perturbed Maximal Monotone Mappings in Hilbert Spaces" potx
... 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, ... convergence of zero points for monotone mappings or fixed points ofpseudocontractions, see, for instance, 1–23 . In 1965, Browder 1 proved the existence result of fixed point for demicontinuouspseudocontractions ... convexity and continuity of h, we can get the convexity and continuity of the setK. Since h is continuous and H is a Hilbert space, we see that h attains its in mum overK;see20 for more details....
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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
... mapping, called K-mapping, for finding a common fixed point of a finite family of nonexpansive mappings. For a finite family of nonexpansive mappings {Ti}Ni1 and sequence {γn,i}Ni in 0, ... 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 ... has only weak convergence, even in a Hilbert spacesetting. In general for example, Reich 2 showed that if E is a uniformly convex Banach space and has a Frehet differentiable norm and if the...
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báo cáo hóa học:" Research Article Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces" pdf
... algorithms for nonexpansive mappings in Hilbert spaces, ” Fixed Point Theory and Applications, vol. 2009, Article ID 279058, 7 pages,2009. Fixed Point Theory and Applications 32. PreliminariesLet ... {Tn} by {Wn} in the recursion formula 3.19, we can obtain the corresponding results of the so-calledW-mapping.Setting F A and Tn T in Theorem 3.5, we can obtain the following result.Corollary ... positive bounded linear operatorA is a A-Lipschitzian and γ-strongly monotone operator.Construction of fixed points of nonlinear mappings is an important and active researcharea. In particular,...
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