Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings

DOI10.1080/00036811.2017.1392018OpenAlexW2766254243MaRDI QIDQ5862261

Mohammed Harunor Rashid, Ya-Xiang Yuan

Publication date: 7 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1392018

zbMATH Keywords

set-valued mappingsgeneralized equationsemi-local convergencemetrically regular mappingsrestricted Newton-type method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Set-valued operators (47H04)

Related Items

Lipschitz-like mapping and its application to convergence analysis of a variant of Newton's method ⋮ Metrically Regular Mapping and Its Utilization to Convergence Analysis of a Restricted Inexact Newton-Type Method ⋮ Stability analysis of Gauss-type proximal point method for metrically regular mappings ⋮ Newton's method for solving generalized equations without Lipschitz condition

Cites Work

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• Convergence analysis of the Gauss-Newton-type method for Lipschitz-like mappings
• Convergence analysis of extended Hummel-Seebeck-type method for solving variational inclusions
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• Uniformity and inexact version of a proximal method for metrically regular mappings
• On the convergence of extended Newton-type method for solving variational inclusions
• Metric Regularity of Newton's Iteration
• Majorizing Functions and Convergence of the Gauss–Newton Method for Convex Composite Optimization
• Implicit Functions and Solution Mappings
• Generalized equations and their solutions, part II: Applications to nonlinear programming
• Generalized equations and their solutions, Part I: Basic theory
• Metric regularity, openness and Lipschitzian behavior of multifunctions
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