Convergence analysis of a variant of Newton-type method for generalized equations

DOI10.1080/00207160.2017.1293819zbMath1391.49026OpenAlexW2589124736MaRDI QIDQ4641570

Mohammed Harunor Rashid

Publication date: 17 May 2018

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1293819

zbMATH Keywords

set-valued mappingsgeneralized equationssemi-local convergenceLipschitz-like mappingsvariant of Newton-type method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Set-valued and variational analysis (49J53) Set-valued operators (47H04)

Related Items (5)

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 ⋮ Extended Newton-type method for nonsmooth generalized equation under \((n, \alpha)\)-point-based approximation ⋮ Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations ⋮ Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings

Cites Work

• Convergence analysis of the Gauss-Newton-type method for Lipschitz-like mappings
• A superquadratic method for solving generalized equations in the Hölder case
• On the convergence of extended Newton-type method for solving variational inclusions
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• 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
• An Inverse Mapping Theorem for Set-Valued Maps
• Engineering and Economic Applications of Complementarity Problems
• Set-valued analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence analysis of a variant of Newton-type method for generalized equations