Variational Analysis of Composite Models with Applications to Continuous Optimization
DOI10.1287/moor.2020.1074zbMath1495.90197arXiv1905.08837OpenAlexW3170904530MaRDI QIDQ5076706
Ashkan Mohammadi, Boris S. Mordukhovich, M. Ebrahim Sarabi
Publication date: 17 May 2022
Published in: Mathematics of Operations Research (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.08837
parametric optimizationno-gap second-order optimality conditionscomposite constrained optimizationfirst-order and second-order variational analysis and generalized differentiationmetric subregularity and strong metric regularitysubamenable compositions
Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error bounds and Hölder metric subregularity
- On metric and calmness qualification conditions in subdifferential calculus
- Nonsmooth equations in optimization. Regularity, calculus, methods and applications
- Techniques of variational analysis
- Weak sharp minima revisited. II: Application to linear regularity and error bounds
- Calmness of constraint systems with applications
- On Computation of Generalized Derivatives of the Normal-Cone Mapping and Their Applications
- Characterizations of Full Stability in Constrained Optimization
- Calculus Without Derivatives
- Characterization of the Robust Isolated Calmness for a Class of Conic Programming Problems
- Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces
- Optimality Conditions for Disjunctive Programs Based on Generalized Differentiation with Application to Mathematical Programs with Equilibrium Constraints
- Generalized Second Derivatives of Convex Functions and Saddle Functions
- First Order and Second Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings
- Strong Metric (Sub)regularity of Karush–Kuhn–Tucker Mappings for Piecewise Linear-Quadratic Convex-Composite Optimization and the Quadratic Convergence of Newton’s Method
- First- and Second-Order Epi-Differentiability in Nonlinear Programming
- Some continuity properties of polyhedral multifunctions
- Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
- A Calculus of EPI-Derivatives Applicable to Optimization
- Variational Analysis
- Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
- Variational Analysis and Applications
- Variational Analysis and Generalized Differentiation I
- On Projection Algorithms for Solving Convex Feasibility Problems
- Prox-regular functions in variational analysis
- Hölder Metric Subregularity with Applications to Proximal Point Method
- Parabolic regularity in geometric variational analysis
- Variational Analysis of Regular Mappings
- Second-order growth, tilt stability, and metric regularity of the subdifferential
- Criticality of Lagrange Multipliers in Variational Systems
- Newton-Type Methods for Optimization and Variational Problems
- Metric subregularity of the convex subdifferential in Banach spaces
- Implicit Functions and Solution Mappings
- Robinson Stability of Parametric Constraint Systems via Variational Analysis