Lipschitz-like mapping and its application to convergence analysis of a variant of Newton's method
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Publication:5048412
DOI10.15372/SJNM20210206OpenAlexW4252082204MaRDI QIDQ5048412
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Publication date: 16 November 2022
Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/sjvm775
set-valued mappingssemilocal convergencegeneralized equationsLipschitz-like mappingsvariant of Newton's method
Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Set-valued operators (47H04)
Cites Work
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- Newton's method for solving generalized equations: Kantorovich's and Smale's approaches
- Convergence of inexact Newton methods for generalized equations
- Convergence analysis of the Gauss-Newton-type method for Lipschitz-like mappings
- Convergence analysis of extended Hummel-Seebeck-type method for solving variational inclusions
- Inexact Josephy-Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization
- Nonsmooth equations in optimization. Regularity, calculus, methods and applications
- Kantorovich's theorem on Newton's method for solving generalized equations under the majorant condition
- Extended Newton-type method and its convergence analysis for nonsmooth generalized equations
- Approximations and generalized Newton methods
- Local convergence of quasi-Newton methods under metric regularity
- A superquadratic method for solving generalized equations in the Hölder case
- Newton's Method for Solving Inclusions Using Set-Valued Approximations
- Metric Regularity of Newton's Iteration
- Lipschitz Behavior of Solutions to Convex Minimization Problems
- Inexact Newton Methods
- 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
- Convergence analysis of a variant of Newton-type method for generalized equations
- Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations
- Newton-Type Methods for Optimization and Variational Problems
- Implicit Functions and Solution Mappings
- Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings
- Set-valued analysis
