An uniparametric secant-type method for nonsmooth generalized equations

DOI10.1007/S11117-007-2103-9zbMath1139.47045OpenAlexW2047987884MaRDI QIDQ931388

Saïd Hilout

Publication date: 25 June 2008

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-007-2103-9

zbMATH Keywords

set-valued mappingdivided differenceAubin continuitygeneralised equation

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• A modification of Newton's method for nondifferentiable equations.
• The secant method for nondifferentiable operators
• Semilocal convergence of the secant method under mild convergence conditions of differentiability
• Stability of a cubically convergent method for generalized equations
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• Lipschitzian properties of multifunctions
• Generalized equations and their solutions, part II: Applications to nonlinear programming
• Generalized equations and their solutions, Part I: Basic theory
• Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
• An Inverse Mapping Theorem for Set-Valued Maps
• Stability Theory for Parametric Generalized Equations and Variational Inequalities Via Nonsmooth Analysis
• Variational Analysis
• Set-valued analysis
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