Parabolic regularity in geometric variational analysis
From MaRDI portal
Publication:4963627
DOI10.1090/tran/8253zbMath1460.49014arXiv1909.00241OpenAlexW3047218426MaRDI QIDQ4963627
Ashkan Mohammadi, M. Ebrahim Sarabi, Boris S. Mordukhovich
Publication date: 19 February 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.00241
differential geometrysecond-order optimality conditionsvariational analysisgeneralized differentiationaugmented Lagrangiansparabolic regularity
Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Numerical methods for mathematical programming, optimization and variational techniques (65K99)
Related Items
On higher-order proto-differentiability and higher-order asymptotic proto-differentiability of weak perturbation maps in parametric vector optimization, Optimality conditions for variational problems in incomplete functional spaces, Quadratic growth and strong metric subregularity of the subdifferential for a class of non-prox-regular functions, Variational Analysis of Composite Models with Applications to Continuous Optimization, Second-order optimality conditions for mathematical program with semidefinite cone complementarity constraints and applications, Local optimality for stationary points of group zero-norm regularized problems and equivalent surrogates, Strong Variational Sufficiency for Nonlinear Semidefinite Programming and Its Implications, Second order analysis for robust inclusion systems and applications, Second-Order Optimality Conditions for General Nonconvex Optimization Problems and Variational Analysis of Disjunctive Systems, On the weak second-order optimality condition for nonlinear semidefinite and second-order cone programming, Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials, Nonlinear metric regularity on fixed sets, Formulas of first-ordered and second-ordered generalization differentials for convex robust systems with applications, Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization, Role of subgradients in variational analysis of polyhedral functions, Fréchet Second-Order Subdifferentials of Lagrangian Functions and Optimality Conditions, Augmented Lagrangians and hidden convexity in sufficient conditions for local optimality, Variational Convexity of Functions and Variational Sufficiency in Optimization, Local convergence analysis of augmented Lagrangian method for nonlinear semidefinite programming, A Chain Rule for Strict Twice Epi-Differentiability and Its Applications, Unnamed Item, Lipschitz continuity of convex functions, Local Convergence Analysis of Augmented Lagrangian Methods for Piecewise Linear-Quadratic Composite Optimization Problems, Second order variational analysis of disjunctive constraint sets and its applications to optimization problems, Augmented Lagrangian method for second-order cone programs under second-order sufficiency, Generalized Newton Algorithms for Tilt-Stable Minimizers in Nonsmooth Optimization, Variational Analysis in Normed Spaces with Applications to Constrained Optimization, Second-Order Optimality Conditions for Nonconvex Set-Constrained Optimization Problems, Sufficient Optimality Conditions in Bilevel Programming, Primal superlinear convergence of SQP methods in piecewise linear-quadratic composite optimization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Technical note: Directional derivatives in nonsmooth optimization
- Convergence analysis of the augmented Lagrangian method for nonlinear second-order cone optimization problems
- The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
- Second-order directional derivatives for nonsmooth functions
- Proto-differentiability of set-valued mappings and its applications in optimization
- Maximum principle in the problem of time optimal response with nonsmooth constraints
- Strong conical hull intersection property, bounded linear regularity, Jameson's property \((G)\), and error bounds in convex optimization
- Second-order variational analysis in second-order cone programming
- Calmness of constraint systems with applications
- Sensitivity Analysis of Optimization Problems Under Second Order Regular Constraints
- On Computation of Generalized Derivatives of the Normal-Cone Mapping and Their Applications
- Computation of Graphical Derivative for a Class of Normal Cone Mappings under a Very Weak Condition
- Lagrange Multipliers and Optimality
- First Order and Second Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings
- Curvature Measures
- Limiting behaviour of the approximate first order and second order directional derivatives for a convex function
- Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives
- On second derivatives for nonsmooth functions
- First- and Second-Order Epi-Differentiability in Nonlinear Programming
- Second-Order Sufficient Conditions in Nonsmooth Optimization
- A unified theory of first and second order conditions for extremum problems in topological vector spaces
- Generalized equations and their solutions, Part I: Basic theory
- Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
- A Calculus of EPI-Derivatives Applicable to Optimization
- Epi-Derivatives of Integral Functionals with Applications
- Variational Analysis
- Variational Analysis and Applications
- Second-Order Variational Analysis of Parametric Constraint and Variational Systems
- Moreau--Rockafellar-Type Formulas for the Subdifferential of the Supremum Function
- Variational Analysis and Generalized Differentiation I
- Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets
- Approximating a Second-Order Directional Derivative for Nonsmooth Convex Functions
- On the Calmness of a Class of Multifunctions
- Partial Extensions of Attouch's Theorem with Applications to Proto- Derivatives of Subgradient Mappings
- Prox-regular functions in variational analysis
- Implicit Functions and Solution Mappings
- Some Properties of the Augmented Lagrangian in Cone Constrained Optimization
- Sensitivity Analysis of Variational Inequalities via Twice Epi-differentiability and Proto-differentiability of the Proximity Operator
- Variational Analysis in Normed Spaces with Applications to Constrained Optimization