disturbance rejection in hilbert space
Báo cáo hóa học: " Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces" doc
... quasi-nonexpansive mappings in Hilbert spaces Comput Math Appl 59(1), 74–79 (2009) Tian, M: A general iterative algorithm for nonexpansive mappings in Hilbert spaces Nonlinear Anal 73, 689–694 ... scheme for nonexpansive mappings in Hilbert spaces 2010 International Conference on Computational Intelligence and Software Engineering, CiSE 2010 (2010) art no 5677064 Maingé, PE: Strong convergence ... quasi-nonexpansive mapping Under some appropriate conditions on ω and {an}, we obtain strong convergence over the class of quasi-nonexpansive mappings in Hilbert spaces Our result is more general than Maingè’s...
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Báo cáo hóa học: " Fixed point theorems for some new nonlinear mappings in Hilbert spaces" pptx
... nonexpansive mappings in a Hilbert space In 2008, Kohsaka and Takahashi [6] introduced nonspreading mapping and obtained a fixed point theorem for a single nonspreading mapping and a common fixed point theorem ... nonspreading mapping in Hilbert spaces In 2010, Takahashi [7] extended Ray’s type theorem for nonspreading mapping in Hilbert spaces Iemoto and Takahashi [8] also extended the demiclosed principles ... 1.1 The class of asymptotic nonspreading mappings contains the class of nonspreading mappings and the class of TJ-2 mappings in a Hilbert space Indeed, in Definition 1.1, we know that (i) if a...
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Báo cáo hóa học: " On relaxed and contraction-proximal point algorithms in hilbert spaces" doc
... convergence principle for Fejér-monotone methods in Hilbert spaces Math Oper Res 26, 248–264 (2001) doi:10.1287/moor.26.2.248.10558 Solodov, MV, Svaiter, BF: Forcing strong convergence of proximal point ... approximate proximal point algorithms in Hilbert space Taiwan J Math 12, 1691–1705 (2008) Page of Wang and Wang Journal of Inequalities and Applications 2011, 2011:41 http://www.journalofinequalitiesandapplications.com/content/2011/1/41 ... contraction-proximal point algorithms in hilbert spaces Journal of Inequalities and Applications 2011 2011:41 Submit your manuscript to a journal and benefit from: Convenient online submission Rigorous...
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Báo cáo hóa học: " Fixed point theorems for some new nonlinear mappings in Hilbert spaces" pot
... nonexpansive mappings in a Hilbert space In 2008, Kohsaka and Takahashi [6] introduced nonspreading mapping and obtained a fixed point theorem for a single nonspreading mapping and a common fixed point theorem ... nonspreading mapping in Hilbert spaces In 2010, Takahashi [7] extended Ray’s type theorem for nonspreading mapping in Hilbert spaces Iemoto and Takahashi [8] also extended the demiclosed principles ... 1.1 The class of asymptotic nonspreading mappings contains the class of nonspreading mappings and the class of TJ-2 mappings in a Hilbert space Indeed, in Definition 1.1, we know that (i) if a...
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Báo cáo hóa học: " Regularization and iterative method for general variational inequality problem in hilbert spaces" pptx
... one Related to the variational inequalities, we have the problem of finding the fixed points of the nonlinear mappings, which is the subject of current interest in functional analysis It is natural ... definitions Definition2.1 Let A: H ® H be a mapping and K ⊂ H Then, A is said to be semicontinuous at a point x in K if lim A(x + th), y = A(x), y , x + th ∈ K, y ∈ H t→0 Definition2.2 A mapping ... http://www.journalofinequalitiesandapplications.com/content/2011/1/21 Page of 11 monotone mapping, T: K ® H be l-inverse strongly monotone mapping If g is an expanding affine continuous mapping and GVIK(A,...
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Báo cáo hóa học: " Systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces" ppt
... announced in [1] is very interesting (III) If A, B : H ® H are single-valued mappings, then, from the problem (1.1), we have the following system of general nonlinear mixed variational inequalities ... presented in Lemma 1.6 plays an important role in developing the numerical methods for solving the system of general nonlinear set-valued mixed variational inequalities problems In fact, assuming that ... find such a solution for any initial points x0, y0 Î H Using Theorem 2.2, we can obtain the following results: (I) If g = I (: the identity mapping), then from Algorithm 1, we have the following:...
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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
... pseudo-contractions in Hilbert spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol 69, no 2, pp 456–462, 2008 14 F E Browder and W V Petryshyn, “Construction of fixed points of nonlinear mappings in ... Notes in Econom and Math Systems, pp 187–201, Springer, Berlin, Germany, 1999 S Plubtieng and R Punpaeng, “A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces,” ... method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications...
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Báo cáo hóa học: " Research Article A Weak Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces" potx
... theorems are established in real Hilbert spaces In order to prove our main results, we also need the following lemmas Lemma 1.4 In a real Hilbert space, the following inequality holds: ax 1−a ... pseudocontractions was introduced by Browder and Petryshyn 11 in a real Hilbert space In 2007, Marino and Xu 12 obtained a weak convergence theorem for the class of strictly pseudocontractive mappings; see ... Banach space and T is an asymptotically nonexpansive mapping on C, then T has a fixed point T is said to be asymptotically nonexpansive in the intermediate sense if it is continuous and the following...
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Báo cáo hóa học: " Research Article Convergence of Paths for Perturbed Maximal Monotone Mappings in Hilbert Spaces" potx
... be a mapping of a linear normed space X into its dual space X ∗ T is said to be hemicontinuous if it is continuous from each line segment in X to the weak topology in X ∗ The mapping f with ... points for monotone mappings or fixed points of pseudocontractions, see, for instance, 1–23 In 1965, Browder proved the existence result of fixed point for demicontinuous pseudocontractions in Hilbert ... point in C In 1968, Browder proved the existence results of zero points for maximal monotone mappings in reflexive Banach spaces To be more precise, he proved the following theorem Fixed Point...
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Báo cáo hóa học: " Research Article General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces" ppt
... mapping pseudocontractive mapping, resp The results presented in this paper improve and generalize some corresponding results in 4–6 Fixed Point Theory and Applications Preliminaries A mapping ... semigroup in Hilbert space, ” Nonlinear Analysis: Theory, Methods & Applications, vol 70, no 9, pp 3065–3071, 2009 G Marino and H.-K Xu, “A general iterative method for nonexpansive mappings in Hilbert ... nonexpansive semigroup satisfying 3.22 and F Γ is a singleton {θ}, where θ is the zero point in H Combining the proofs of Theorems 3.2 and 3.6, we can easily conclude the following result Theorem 3.8...
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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
... nonexpansive mapping In a real Hilbert space H, we have x−y x y − x, y , ∀x, y ∈ H 2.2 In order to prove our main results, we need the following lemmas Lemma 2.1 see 13 Let H be a Hilbert space, C a ... of nonlinear mappings is an important and active research area In particular, iterative algorithms for finding fixed points of nonexpansive mappings have received vast investigation cf 1, since these ... mappings in Hilbert space, ” Proceedings of the National Academy of Sciences of the United States of America, vol 53, pp 1272–1276, 1965 10 B Halpern, “Fixed points of nonexpanding maps,” Bulletin...
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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
... Banach space In this paper, we consider a new iterative scheme for obtaining a common element in the solution set of an in nite family of generalized equilibrium problems and in the common fixed-point ... mappings in a Hilbert space Let {Tn }N N ≥ be a finite family of n nonexpansive mappings of H into itself, be {Gn } : C × C → R be an in nite family of bifunctions, and be {An } : C → H be an in nite ... point, A be a strongly positive linear bounded operator on H and {T }N be a finite family of nonexpansive mappings of H into itself such that F n N n F Tn / ∅ In 2003, Xu introduced the following...
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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
... obtained In the case C / H, we have to modify the iterative scheme 1.8 in order to make it well-defined In 2009, Kangtunyakarn and Suantai introduced a new mapping, called Kmapping, for finding ... K-mapping of C into itself generated by T1 , , TN and λ1 , , λN Then F K i F Ti Fixed Point Theory and Applications By using the same argument as in 9, Lemma 2.10 , we obtain the following ... nonexpansive mappings {Ti }N1 , which i solves a variational inequaility problem 4 Fixed Point Theory and Applications In order to prove our main results, we need the following lemmas Lemma...
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Báo cáo hóa học: "Research Article Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space Yi-An Chen" ppt
... ∈ N is a fixed number , we will propose the following iterative progress for two in nitely nonexpansive mappings {Tn } and {Tn } in a Hilbert space H: x0 , x1 , , xq ∈ C chosen arbitrarity, ... nonlinear Lipschitzian strongly accretive mappings in Lp spaces,” Journal of Mathematical Analysis and Applications, vol 151, no 2, pp 453–461, 1990 B E Rhoades, “Comments on two fixed point iteration ... subset of a strictly convex Banach space E Given a sequence {λn }∞ in 0, , one defines a n sequence {Wn }∞ of self-mappings on C by 1.2 Then one has the following results n Lemma 2.3 see Let C...
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Báo cáo hóa học: " Research Article Browder’s Convergence for Uniformly Asymptotically Regular Nonexpansive Semigroups in Hilbert Spaces" docx
... finding nearest common fixed points of nonexpansive mappings in Hilbert spaces,” Nonlinear Analysis, vol 54, no 8, pp 1417–1426, 2003 L P Belluce and W A Kirk, “Nonexpansive mappings and fixed-points ... Therefore we obtain limn αn /tn By Theorem 2.3 and Example 2.5, we obtain the following Theorem 2.6 Let E be an in nite-dimensional Hilbert space Let {αn } and {tn } be sequences in R satisfying (C1) ... E be a Hilbert space Let {xn } be a sequence in E converging weakly to z0 ∈ H Then the inequality lim infn xn − z ≤ lim infn xn − z0 implies z z0 We generalize Theorem 1.2 4 Fixed Point Theory...
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Báo cáo hóa học: " Research Article A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces" pptx
... ≥ for all u ∈ C and hence w ∈ EP(B) Since Hilbert spaces are Opial’s spaces, from (3.22), we have liminf yni − w ≤ liminf Syni − Sw ≤ liminf yni − w < liminf yni − Sw , n→∞ n→∞ n→∞ n→∞ (3.27) ... point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol 331, no 1, pp 506–515, 2007 [4] F Deutsch and I Yamada, “Minimizing certain convex functions over the intersection ... a nonexpansive mapping on a real Hilbert space H: x ∈C Ax,x − x,b , (1.3) where C is the fixed point set of a nonexpansive mapping S and b is a given point in H In [6], it is proved that the sequence...
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Báo cáo hóa học: " Research Article Composite Implicit General Iterative Process for a Nonexpansive Semigroup in Hilbert Space" ppt
... minimize a quadratic function over the set of the fixed points of a nonexpansive mapping on a real Hilbert space H: x∈C Ax, x − x, b , 1.1 where C is the fixed point set of a nonexpansive mapping ... variational inequality I −f x∗ , x∗ − z ≤ for all z ∈ F T References F Deutsch and I Yamada, “Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings,” ... descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and...
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Báo cáo hóa học: " Research Article Generalized Nonlinear Variational Inclusions Involving (A,η)-Monotone Mappings in Hilbert Spaces" pot
... (A,η)-monotonicity Let H denote a real Hilbert space with the norm · and inner product ·, · Let η : H × H : →H be a single-valued mapping The mapping η is called τ-Lipschitz continuous if there is a constant ... τ-Lipschitz continuous nonlinear mapping and N : H × H →H be relaxed (α1 ,β1 )-cocoercive (with respect to Ag) and μ1 -Lipschitz coninuous in the first variable and N be ν1 -Lipschitz continuous in the ... g : H →H, η : H × H →H be three nonlinear mappings and M : H →2H be an (A,η)-monotone mapping Then the nonlinear variational inclusion (NVI) problem: determine an element u ∈ H for a given element...
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Báo cáo hóa học: " Research Article Strong Convergence of a Modified Iterative Algorithm for Mixed-Equilibrium Problems in Hilbert Spaces" pdf
... sciences and engineering For example, the well-known convex feasibility problem reduces to finding a point in the intersection of the fixed-point sets of a family of nonexpansive mappings see, e.g., ... point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol 331, no 1, pp 506–515, 2007 F Deutsch and I Yamada, “Minimizing certain convex functions over the intersection ... of the fixed points of a nonexpansive mapping on a real Hilbert space H: x∈C Ax, x − x, b , 1.15 where A is a linear-bounded operator, C is the fixed-point set of a nonexpansive mapping S, and b...
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Báo cáo hóa học: " Research Article Approximate Proximal Point Algorithms for Finding Zeroes of Maximal Monotone Operators in Hilbert Spaces" potx
... sequence {en } in Hilbert spaces For this purpose, we collect some lemmas that will be used in the proof of the main results in the next section The first lemma is standard and it can be found in some ... the following corollary Corollary 2.3 Let H be a real Hilbert space, Ω a nonempty closed convex subset of H, and S : Ω → Ω a continuous and pseudocontractive mapping with a fixed point in Ω Suppose ... However, as pointed out in , the ideal form of the algorithm is often impractical since, in many cases, solving the problem 1.6 exactly is either impossible or as difficult as the original problem...
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