Newton's method for solving generalized equations without Lipschitz condition
From MaRDI portal
Publication:2115251
DOI10.1007/s10957-021-01974-0zbMath1484.49038OpenAlexW3216976746MaRDI QIDQ2115251
Publication date: 15 March 2022
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-021-01974-0
Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Set-valued and variational analysis (49J53) Programming in abstract spaces (90C48)
Related Items (1)
Cites Work
- Convergence of inexact Newton methods for generalized equations
- A robust semi-local convergence analysis of Newton's method for cone inclusion problems in Banach spaces under affine invariant majorant condition
- A relaxed projection method for split variational inequalities
- Algorithms for the split variational inequality problem
- Newton's method for generalized equations: a sequential implicit function theorem
- Newton's method for a class of nonsmooth functions
- Local convergence analysis of Newton's method for solving strongly regular generalized equations
- Stability of metric regularity with set-valued perturbations and application to Newton's method for solving generalized equations
- Extending the Kantorovich's theorem on Newton's method for solving strongly regular generalized equation
- Newton's method with feasible inexact projections for solving constrained generalized equations
- Quasi-Newton methods for constrained nonlinear systems: complexity analysis and applications
- A general iterative procedure to solve generalized equations with differentiable multifunction
- Regularity of Newton's iteration for general parametric variational system
- Local convergence of quasi-Newton methods under metric regularity
- Newton's Method for Solving Inclusions Using Set-Valued Approximations
- Metric Regularity of Newton's Iteration
- Majorizing Functions and Convergence of the Gauss–Newton Method for Convex Composite Optimization
- Implicit Functions and Solution Mappings
- Inexact Newton Methods
- Generalized equations and their solutions, part II: Applications to nonlinear programming
- Generalized equations and their solutions, Part I: Basic theory
- Engineering and Economic Applications of Complementarity Problems
- Solving Nonlinear Equations with Newton's Method
- Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations
- Newton-Type Methods for Optimization and Variational Problems
- Kantorovich's Theorem on Newton's Method for Solving Strongly Regular Generalized Equation
- Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings
This page was built for publication: Newton's method for solving generalized equations without Lipschitz condition