A sequential implicit function theorem for iterative solution of generalized equation involving point-based approximation

DOI10.1007/S12215-011-0073-ZzbMath1254.49017OpenAlexW1974359689MaRDI QIDQ693207

Diana Kirilova Nedelcheva

Publication date: 7 December 2012

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-011-0073-z

zbMATH Keywords

set-valued mappinglinear convergencestrong regularityimplicit function theoremgeneralized equationspoint-based approximation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

Implicit mapping theorem for extended metric regularity in metric spaces

Cites Work

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• Newton's method for generalized equations: a sequential implicit function theorem
• Convergence of the method of chords for solving generalized equations
• Newton's method for a class of nonsmooth functions
• Nonsmooth equations in optimization. Regularity, calculus, methods and applications
• Foundations of bilevel programming
• Metric Regularity of Newton's Iteration
• Engineering and Economic Applications of Complementarity Problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems

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