Convergence analysis of the Gauss-Newton-type method for Lipschitz-like mappings

DOI10.1007/s10957-012-0206-3zbMath1272.90115OpenAlexW1980954943MaRDI QIDQ368607

Chong Li, Mohammed Harunor Rashid, Soon-Yi Wu, Shaohua Yu

Publication date: 23 September 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0206-3

zbMATH Keywords

set-valued mappingsgeneralized equationssemi-local convergenceGauss-Newton-type methodLipschitz-like mappings

Mathematics Subject Classification ID

Programming in abstract spaces (90C48)

Related Items (11)

Newton's method for solving generalized equations: Kantorovich's and Smale's approaches ⋮ 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 and its convergence analysis for nonsmooth generalized equations ⋮ Secant-inexact projection algorithms for solving a new class of constrained mixed generalized equations problems ⋮ Extended Newton-type method for nonsmooth generalized equation under \((n, \alpha)\)-point-based approximation ⋮ Convergence analysis of a variant of Newton-type method for generalized equations ⋮ Convergence analysis of extended Hummel-Seebeck-type method for solving variational inclusions ⋮ On the convergence of extended Newton-type method for solving variational inclusions ⋮ 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

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