Metric regularity and subdifferential calculus in Banach spaces
From MaRDI portal
Publication:1893911
DOI10.1007/BF01033643zbMath0854.49015MaRDI QIDQ1893911
Lionel Thibault, Abderrahim Jourani
Publication date: 5 January 1997
Published in: Set-Valued Analysis (Search for Journal in Brave)
Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued functions (26E25) Existence theories for problems in abstract spaces (49J27) Derivatives of functions in infinite-dimensional spaces (46G05)
Related Items
Metric Subregularity of Multifunctions: First and Second Order Infinitesimal Characterizations ⋮ Metric Regularity and Optimality Conditions in Nonsmooth Optimization ⋮ Directional Metric Regularity of Multifunctions ⋮ Implicit multifunction theorems in complete metric spaces ⋮ Tangency conditions for multivalued mappings ⋮ Feasibility in finite time ⋮ Nonlinear metric regularity on fixed sets ⋮ Subdifferentials of optimal value functions under metric qualification conditions ⋮ METRIC REGULARITY—A SURVEY PART II. APPLICATIONS ⋮ On metric and calmness qualification conditions in subdifferential calculus ⋮ Regularity modulus and radius of set-valued mappings ⋮ Directional Hölder metric regularity ⋮ Error bounds for systems of lower semicontinuous functions in Asplund spaces ⋮ Metric regularity of the sum of multifunctions and applications ⋮ A general metric regularity in asplund banach spaces ⋮ Metric regularity of composition set-valued mappings: metric setting and coderivative conditions ⋮ Preservation of Prox-Regularity of Sets with Applications to Constrained Optimization ⋮ Codifferential calculus ⋮ Error bounds for convex differentiable inequality systems in Banach spaces ⋮ Subgradient of distance functions with applications to Lipschitzian stability ⋮ Subdifferentiation of regularized functions
Cites Work
- Unnamed Item
- Unnamed Item
- Approximate subdifferential and metric regularity: The finite-dimensional case
- Stability and regular points of inequality systems
- Maximum principle in the problem of time optimal response with nonsmooth constraints
- Approximate subdifferentials and applications 3: the metric theory
- Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory
- Stability in Mathematical Programming with Nondifferentiable Data
- Optimization and nonsmooth analysis
- Extensions of subgradient calculus with applications to optimization
- Approximate subdifferentials and applications II
- Nonsmooth Calculus in Finite Dimensions
- Clarke's Gradients and Epsilon-Subgradients in Banach Spaces
- On the local surjection property
- Regular Points of Lipschitz Functions
- Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
- Directionally Lipschitzian Functions and Subdifferential Calculus
- Regularity and strong sufficient optimality conditions in differentiable optimization problems
- Proximal Analysis and Approximate Subdifferentials
- Approximations and Metric Regularity in Mathematical Programming in Banach Space
- The use of metric graphical regularity in approximate subdifferential calculus rules in finite dimensions