Results 11 to 20 of about 560,761 (277)

Analyzing Stability and Data Dependence Notions by a Novel Jungck-Type Iteration Method

open access: yesJournal 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]

open access: yesBulletin 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

Geometrically Constructed Family of the Simple Fixed Point Iteration Method

open access: yesMathematics, 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   +1 more source

Bounded Fixed Point Iteration

open access: yesDAIMI 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

open access: yesJournal 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

Fixed point iteration on pointsymmetric interference graphs [PDF]

open access: yes, 1994
Interference graphs are used for performance analysis of multiprocessor interconnection networks. In order to model blocked transmissions, nodes can have three states: idle, active or blocked. The resulting steady state probability distribution has a non-
Damme, Ruud van, Veltkamp, J. Peter
core   +3 more sources

Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm

open access: yesJournal 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

A fixed point iterative method for the solution of two-point boundary value problems for a second order differential equations

open access: yesAlexandria 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

On the convergence, stability and data dependence results of the JK iteration process in Banach spaces

open access: yesOpen 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

Fixed point iterations using infinite matrices [PDF]

open access: yesTransactions 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

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