Results 41 to 50 of about 55,994 (213)
Anderson Acceleration for Fixed-Point Iterations [PDF]
SIAM Journal on Numerical Analysis, 2011 This paper concerns an acceleration method for fixed-point iterations that originated in work of D. G. Anderson [J. Assoc. Comput. Mach., 12 (1965), pp. 547-560], which we accordingly call Anderson acceleration here. This method has enjoyed considerable success and wide usage in electronic structure computations, where it is known as Anderson mixing ...
Homer F. Walker, Peng Ni
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Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2005 Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T:C→C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover,
Somyot Plubtieng, Rabian Wangkeeree
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Approximating of fixed points for Garsia-Falset generalized nonexpansive mappings
Journal of New Results in Science, 2023 This paper studies the convergence of fixed points for Garsia-Falset generalized nonexpansive mappings. First, it investigates weak and strong convergence results for Garsia-Falset generalized nonexpansive mappings using the Temir-Korkut iteration in ...
Oruç Zincir, Seyit Temir
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Fixed Points by a New Iteration Method [PDF]
Proceedings of the American Mathematical Society, 1974 The following result is shown. If T T is a lipschitzian pseudo-contractive map of a compact convex subset E E of a Hilbert space into itself and x 1 {x_1} is any point in E E , then a certain mean value sequence defined by
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Journal of Function Spaces, 2019 In this paper, we introduce a new accelerated iteration for finding a fixed point of monotone generalized α-nonexpansive mapping in an ordered Banach space.
Yi-An Chen, Dao-Jun Wen
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Errata to “Elimination and fixed point iterations”
Computers & Mathematics with Applications, 1994 A programming mistake led to numerical errors in Tables 4.1 and 4.2 of the authors' paper [ibid. 25, No. 5, 43-53 (1993; Zbl 0780.65030)]. The two leftmost columns corresponding to the Newton iterations and their residuals in both tables are correct; on the other hand, those corresponding to the Newton-Fourier iterations are wrong.
Milaszewicz, J. P., Masih, S. Abdel
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Fixed point iteration for pseudocontractive maps [PDF]
Proceedings of the American Mathematical Society, 1999 Let K K be a compact convex subset of a real Hilbert space, H H ; T : K → K T:K\rightarrow K a continuous pseudocontractive map. Let { a n } , { b ...
Chidume, C. E., Moore, Chika
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Chebyshev Inertial Iteration for Accelerating Fixed-Point Iterations
, 2020 A novel method which is called the Chebyshev inertial iteration for accelerating the convergence speed of fixed-point iterations is presented. The Chebyshev inertial iteration can be regarded as a valiant of the successive over relaxation or Krasnosel'ski\v -Mann iteration utilizing the inverse of roots of a Chebyshev polynomial as iteration dependent
Wadayama, Tadashi, Takabe, Satoshi
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AxiomsThis study presents a common fixed-point iteration process that includes two asymptotically nonexpansive self-mappings in a hyperbolic space and their delta convergence. To support our results, we provide an example with a comparison table and sufficient
Tehreem Ishtiaq +3 more
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Demonstratio Mathematica, 2016 The purpose of this paper is to study convergence of a newly defined modified S-iteration process to a common fixed point of two asymptotically quasi-nonexpansive type mappings in the setting of CAT(0) space. We give a suffcient condition for convergence
Saluja G. S.
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