Results 11 to 20 of about 55,994 (213)
Geometrically Constructed Family of the Simple Fixed Point Iteration Method [PDF]
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
doaj +2 more sources
Acceleration methods for fixed-point iterations [PDF]
Acta NumericaA pervasive approach in scientific computing is to express the solution to a given problem as the limit of a sequence of vectors or other mathematical objects. In many situations these sequences are generated by slowly converging iterative procedures, and this led practitioners to seek faster alternatives to reach the limit.
Yousef Saad
openaire +4 more sources
Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method
Journal of New Theory, 2023 Finding the ideal circumstances for a mapping to have a fixed point is the fundamental goal of fixed point theory. These criteria can also be used for the structure under investigation.
Esra Erbaş, Yunus Atalan
doaj +1 more source
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.
openaire +1 more source
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 ...
Nielson, Hanne Riis, Nielson, Flemming
openaire +4 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Fixed point iterations using infinite matrices [PDF]
Transactions of the American Mathematical Society, 1974 Let E be a closed, bounded, convex subset of a Banach space X , f : E → E X,f:E \to E . Consider the iteration scheme defined by x ¯ 0 =
openaire +3 more sources
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
doaj +1 more source