Upper-Lipschitz multifunctions and inverse subdifferentials
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Publication:4328325
DOI10.1016/0362-546X(94)E0025-CzbMath0826.49010MaRDI QIDQ4328325
Publication date: 20 November 1995
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
multifunctioncontingent derivativeupper Lipschitz continuityinverse subdifferentialMordukhovich subdifferential mappingouter derivative
Nonsmooth analysis (49J52) Set-valued operators (47H04) Set-valued and function-space-valued mappings on manifolds (58C06) Continuity properties of mappings on manifolds (58C07)
Related Items (10)
A Unified Analysis of Descent Sequences in Weakly Convex Optimization, Including Convergence Rates for Bundle Methods ⋮ On proto-differentiability of generalized perturbation maps ⋮ Metric regularity and Lipschitzian stability of parametric variational systems ⋮ Conditioning and upper-Lipschitz inverse subdifferentials in nonsmooth optimization problems ⋮ Convergence of the forward-backward algorithm: beyond the worst-case with the help of geometry ⋮ Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria ⋮ An inertial proximal scheme for nonmonotone mappings ⋮ Codifferential calculus ⋮ Multistage bilevel programming problems ⋮ Quadratic Growth and Strong Metric Subregularity of the Subdifferential via Subgradient Graphical Derivative
Cites Work
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- Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory
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- Lipschitzian properties of multifunctions
- Extensions of subgradient calculus with applications to optimization
- Submonotone mappings and the proximal point algorithm
- Parametric Variational Inequalities with Multivalued Solution Sets
- Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
- Generalized equations and their solutions, Part I: Basic theory
- Metric regularity, openness and Lipschitzian behavior of multifunctions
- Set-valued analysis
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