Convergence of the method of chords for solving generalized equations

DOI10.1007/s12215-009-0002-6zbMath1222.47105OpenAlexW2012712982MaRDI QIDQ1032583

Rumen Tsanev Marinov

Publication date: 26 October 2009

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/s12215-009-0002-6

zbMATH Keywords

stabilityset-valued mapsiterative procedurelinear convergencegeneralized equationAubin continuity

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Variational and other types of inclusions (47J22)

Related Items (3)

The weak Ekeland variational principle and fixed points ⋮ Implicit mapping theorem for extended metric regularity in metric spaces ⋮ A sequential implicit function theorem for iterative solution of generalized equation involving point-based approximation

Cites Work

• Newton's method for a class of nonsmooth functions
• Nonsmooth equations in optimization. Regularity, calculus, methods and applications
• A general iterative procedure for solving nonsmooth generalized equations
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• An Inverse Mapping Theorem for Set-Valued Maps
• Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
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