Point-Based Set-Valued Approximations, C -Differential Operators and Applications

DOI10.1080/0233193021000058922zbMath1146.49300OpenAlexW1990570214MaRDI QIDQ4430665

Huifu Xu

Publication date: 12 October 2003

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0233193021000058922

zbMATH Keywords

mean valued theorempenary hullpoint-baseset-valued approximation, convex \(C\)-differential operator

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

• A minimal set-valued strong derivative for vector-valued Lipschitz functions
• Inexact generalized Newton methods for second order \(C\)-differentiable optimization
• Newton's method for a class of nonsmooth functions
• Approximate Newton methods for nonsmooth equations
• Set-valued approximations and Newton's methods
• Nonlinear programming and nonsmooth optimization by successive linear programming
• A nonsmooth version of Newton's method
• Nonsmooth Equations: Motivation and Algorithms
• Optimization and nonsmooth analysis
• On the Extension of Constrained Optimization Algorithms from Differentiable to Nondifferentiable Problems
• Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C¹-Optimization
• Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
• Adaptive smoothing method, deterministically computable generalized Jacobians, and the Newton method

This page was built for publication: Point-Based Set-Valued Approximations, C -Differential Operators and Applications