A Fréchet derivative-free cubically convergent method for set-valued maps
type: Item
instance of: scholarly article
title: A Fréchet derivative-free cubically convergent method for set-valued maps
zbMATH Open document ID: 1152.65062
author: Ioannis Konstantinos Argyros
author: Saïd Hilout
published in: Numerical Algorithms
publication date: 2008-08-20T00:00:00Z
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 5314382
zbMATH Keywords: Banach space
zbMATH Keywords: divided differences operators
zbMATH Keywords: generalized equation
zbMATH Keywords: Aubin's continuity
zbMATH Keywords: radius of convergence
zbMATH Keywords: Fréchet derivative
zbMATH Keywords: set-valued map
zbMATH Keywords: nonlinear operator equation
MaRDI profile type: Publication
full work available at URL: s11075-008-9205-8
OpenAlex ID: W2030042895
cites work: A class of quasi-Newton generalized Steffensen methods on Banach spaces
cites work: The secant method and fixed points of nonlinear operators
cites work: New sufficient convergence conditions for the secant method
cites work: On a two-point Newton-like method of convergent order two
cites work: On the secant method for solving nonsmooth equations
cites work: Convergence and Applications of Newton-type Iterations
cites work: A Kantorovich-type analysis for a fast iterative method for solving nonlinear equations
cites work: Local convergence of Newton-like methods for generalized equations
cites work: Set-valued analysis
cites work: An Inverse Mapping Theorem for Set-Valued Maps
cites work: Convergence analysis of a family of Steffensen-type methods for generalized equations
cites work: A semilocal convergence of a secant-type method for solving generalized equations
cites work: Stability Theory for Parametric Generalized Equations and Variational Inequalities Via Nonsmooth Analysis
cites work: Generalized equations and their solutions, Part I: Basic theory
cites work: Generalized equations and their solutions, part II: Applications to nonlinear programming
cites work: Lipschitzian properties of multifunctions
DOI: 10.1007/S11075-008-9205-8
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description: scientific article; zbMATH DE number 5314382