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We prove that the fixed point iteration of arbitrary positive concave mappings with nonempty fixed point set converges geometrically for any starting point.
Tomasz Piotrowski +1 more
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Shift-splitting fixed point iteration method for solving generalized absolute value equations
Numerical Algorithms, 2022Yan Dou, Dou Yan
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An exposition is given of the properties of the iterates of complex functions near a fixed point, with explicit expressions for their power series in certain cases. The relevance to problems in genetics and statistics is pointed out.
Cedric A. B. Smith
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A new fixed point iteration method for nonlinear third-order BVPs
International Journal of Computer Mathematics, 2021In this article, we shall present a novel approach based on embedding Green's function into Ishikawa fixed point iterative procedure for the numerical solution of a broad class of boundary value problems of third order.
S A Khuri, Issam Louhichi
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Fixed point sets through iteration schemes
We introduce the notion of a general fixed point iteration scheme to unify various fixed point iterations in the literatures, and extend the concept of virtual stability of a selfmap to an iteration scheme to obtain a connection, through an explicit ...
P Chaoha
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An inexact fixed point iteration method for solving absolute value equation
Japan Journal of Industrial and Applied MathematicsShu-Xin Miao
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Acceleration of iteration methods for interval fixed point problems
We consider the fixed point equation x=F(x) with a continuous and inclusion isotone interval function F:Rn→Rn. The iteration xk+1=F(xk) converges monotonically (xk+1⊆xk) to a fixed point of F if x1⊆x0.
Rihm, Robert
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A new convergence result for fixed-point iteration in bounded interval of Rn
A fixed-point theorem in bounded interval of Rn and a new fixed-point iteration on Mann's iteration scheme are established to compute a fixed-point of real Lipschitz functions.
Zhenyu Huang
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