On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives
From MaRDI portal
Publication:2069923
DOI10.1016/j.jmaa.2021.125895OpenAlexW4200010650MaRDI QIDQ2069923
Helmut Gfrerer, Jiří V. Outrata
Publication date: 21 January 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.00519
Related Items
On the application of the SCD semismooth* Newton method to variational inequalities of the second kind ⋮ Radius theorems for subregularity in infinite dimensions ⋮ On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction ⋮ Variational Convexity of Functions and Variational Sufficiency in Optimization ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality
- On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs
- On the Newton method for set-valued maps
- Generalized Newton's method based on graphical derivatives
- Tame functions are semismooth
- Maximal monotone relations and the second derivatives of nonsmooth functions
- Nonsmooth equations in optimization. Regularity, calculus, methods and applications
- Implicit multifunction theorems for the sensitivity analysis of variational conditions
- On the positive definiteness of limiting coderivative for set-valued mappings
- A nonsmooth version of Newton's method
- Strong metric subregularity of mappings in variational analysis and optimization
- Second-order characterizations of tilt stability with applications to nonlinear programming
- Augmented Lagrangians and hidden convexity in sufficient conditions for local optimality
- On Lipschitzian Properties of Implicit Multifunctions
- Full Lipschitzian and Hölderian Stability in Optimization with Applications to Mathematical Programming and Optimal Control
- Optimization and nonsmooth analysis
- Strongly Regular Generalized Equations
- Some continuity properties of polyhedral multifunctions
- Variational Analysis
- Tilt Stability of a Local Minimum
- Variational Analysis and Applications
- Inverse and implicit function theorems forH-differentiable and semismooth functions
- Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
- Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
- Prox-regular functions in variational analysis
- Generalized Newton Algorithms for Tilt-Stable Minimizers in Nonsmooth Optimization
- Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential
- Implicit Functions and Solution Mappings
- On Derivative Criteria for Metric Regularity
- On a Semismooth* Newton Method for Solving Generalized Equations
- Convex analysis and monotone operator theory in Hilbert spaces
- Set-valued analysis
- A subdifferential condition for calmness of multifunctions
