Results 11 to 20 of about 57,211 (263)
Geometrically Constructed Family of the Simple Fixed Point Iteration Method
Mathematics, 2021 This study presents a new one-parameter family of the well-known fixed point iteration method for solving nonlinear equations numerically. The proposed family is derived by implementing approximation through a straight line.
Vinay Kanwar +6 more
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Approximating fixed points by ishikawa iterates [PDF]
Bulletin of the Australian Mathematical Society, 1989 In a uniformly convex Banach space the convergence of Ishikawa iterates to a fixed point is discussed for nonexpansive and generalised nonexpansive mappings.
Maiti, M., Ghosh, M. K.
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DAIMI Report Series, 1991 In the context of abstract interpretation for languages without higher-order features we study the number of times a functional need to be unfolded in order to give the least fixed point. For the cases of total or monotone functions we obtain an exponential bound and in the case of strict and additive (or distributive) functions we obtain a quadratic ...
Hanne Riis Nielson, Flemming Nielson
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Inexact fixed-point iteration method for nonlinear complementarity problems
Journal of Algorithms & Computational Technology, 2023 Based on the modulus decomposition, the structured nonlinear complementarity problem is reformulated as an implicit fixed-point system of nonlinear equations. Distinguishing from some existing modulus-based matrix splitting methods, we present a flexible
Xiaobo Song +3 more
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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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Journal of Function Spaces, 2021 In this article, we consider an extensive class of monotone nonexpansive mappings and introduce a new iteration algorithm to approximate the fixed point for monotone total asymptotically nonexpansive mappings in the framework of hyperbolic space.
Amna Kalsoom +6 more
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Abstract Fixed-Point Theorems and Fixed-Point Iterative Schemes
Symmetry, 2022 Mathematical methods are extensively used in dealing with simulation and approximation problems related to computer science, engineering, physics, and many others [...]
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Some fixed point iteration procedures
International Journal of Mathematics and Mathematical Sciences, 1991 This paper provides a survey of iteration procedures that have been used to obtain fixed points for maps satisfying a variety of contractive conditions.
B. E. Rhoades
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Alexandria Engineering Journal, 2018 Recently Kilicman et al. (2006) propose a variational fixed point iteration technique with the Galerkin method for the determination of the starting function for the solution of second order linear ordinary differential equation with two-point boundary ...
Nakone Bello +2 more
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Open Mathematics, 2023 This article analyzes the JK iteration process with the class of mappings that are essentially endowed with a condition called condition (E). The convergence of the iteration toward a fixed point of a specific mapping satisfying the condition (E) is ...
Ullah Kifayat +5 more
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