Stability of minimization problems and the error bound condition
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Publication:2158835
DOI10.1007/s11228-022-00634-3OpenAlexW4221060374MaRDI QIDQ2158835
Publication date: 26 July 2022
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-022-00634-3
Hausdorff distancesmooth manifoldproximal smoothnesserror bound conditionstability of minimization problems
Nonconvex programming, global optimization (90C26) Equations with nonlinear hysteresis operators (47J40)
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- Maximization of a function with Lipschitz continuous gradient
- Proximal alternating linearized minimization for nonconvex and nonsmooth problems
- Properties of the metric projection on weakly Vial-convex sets and parametrization of set-valued mappings with weakly convex images
- The continuity of metric projections as functions of the data
- Introductory lectures on convex optimization. A basic course.
- New error bounds and their applications to convergence analysis of iterative algorithms
- The gradient projection algorithm for smooth sets and functions in nonconvex case
- On the gradient projection method for weakly convex functions on a proximally smooth set
- On quantitative stability in infinite-dimensional optimization under uncertainty
- Convergence to equilibrium for discretizations of gradient-like flows on Riemannian manifolds
- Perturbation analysis of second-order cone programming problems
- Quantitative Stability Analysis for Distributionally Robust Optimization with Moment Constraints
- Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality
- Strong and Weak Convexity of Sets and Functions
- Strongly convex analysis
- The gradient projection algorithm for a proximally smooth set and a function with Lipschitz continuous gradient
- CONTINUITY OF A MULTIVALUED MAPPING CONNECTED WITH THE PROBLEM OF MINIMIZING A FUNCTIONAL
- Quantitative Stability of Variational Systems: I. The Epigraphical Distance
- Optimization Problems with Perturbations: A Guided Tour
- Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds
- Quantitative stability and error estimates for optimal transport plans
- Error Bounds, Quadratic Growth, and Linear Convergence of Proximal Methods
- Weakly convex and proximally smooth sets in Banach spaces
- Second-order sufficient conditions for strong solutions to optimal control problems
- Sur le problème de la division