Operations on convergent families of sets and functions
From MaRDI portal
Publication:5751485
DOI10.1080/02331939008843576zbMath0719.49013OpenAlexW2005949957MaRDI QIDQ5751485
Dominique Azé, Jean-Paul Penot
Publication date: 1990
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331939008843576
Set-valued maps in general topology (54C60) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items
Well-posed optimization problems and a new topology for the closed subsets of a metric space ⋮ Stability of the geometric Ekeland variational principle: Convex case ⋮ Lipschitz behaviour of the Legendre-Fenchel transform ⋮ Wijsman convergence: A survey ⋮ Classical set convergences and topologies ⋮ Miscellaneous incidences of convergence theories in optimization and nonlinear analysis. I: Behavior of solutions ⋮ Set-convergence and its application: a tutorial ⋮ Graphical convergence of sums of monotone mappings ⋮ On the Fell topology ⋮ Duality for the sum of convex functions in general normed spaces ⋮ Polar locally convex topologies and Attouch-Wets convergence ⋮ Convex Optimization and the Epi-Distance Topology ⋮ Quantitative stability analysis for maximal monotone operators and semi-groups of contractions ⋮ Lipschitz Regularization and the Convergence of Convex Functions ⋮ Tangency conditions for multivalued mappings ⋮ A second look at set convergence and linear analysis ⋮ Topologies and convergences on the space of convex functions ⋮ The slice topology: a viable alternative to mosco convergence in nonreflexive spaces ⋮ Constrained convex optimization problems-well-posedness and stability* ⋮ Convergence on closed convex sets in a locally convex space ⋮ Unnamed Item ⋮ Continuity of the Fenchel correspondence and continuity of polarities ⋮ Stability results of a class of well-posed optimization problems ⋮ Persistence and stability of solutions of Hamilton-Jacobi equations ⋮ Set Convergences. An Attempt of Classification ⋮ The topology of the \(\rho\)-Hausdorff distance ⋮ The Cosmic Hausdorff Topology, the Bounded Hausdorff Topology and Continuity of Polarity ⋮ Efficiency and the uniform linear minorization of convex functions ⋮ Variational convergence of composed convex functions ⋮ Continuity of the Legendre–Fenchel transform for some variational convergences ⋮ Bounded convergence for perturbed minimization problems ⋮ A comparative study of various notions of approximation of sets ⋮ Attouch-Wets Convergence and a Differential Operator for Convex Functions ⋮ Slice convergence of parametrised sums of convex functions in non-reflexive spaces ⋮ Characterizations of convex approximate subdifferential calculus in Banach spaces ⋮ Analyse de récession et résultats de stabilité d'une convergence variationnelle, application à la théorie de la dualité en programmation mathématique ⋮ On the convergence of subdifferentials of convex functions ⋮ A Characterization of Epi-Convergence in Terms of Convergence of Level Sets ⋮ Gap, excess and bornological convergence ⋮ Weak Topologies for the Closed Subsets of a Metrizable Space ⋮ Slice convergence: stabilité et optimisation dans les espaces non réflexifs ⋮ A stability result in quasi-convex programming ⋮ Convergence of truncates in l 1 optimal feedback control 61 ⋮ Conditioning convex and nonconvex problems ⋮ Stability and Error Analysis for Optimization and Generalized Equations ⋮ A second look at set convergence and linear analysis ⋮ Uniform Continuity on Bounded Sets and the Attouch-Wets Topology
Cites Work
- Convergence of best approximations in a smooth Banach space
- Tangency and differentiation: Some applications of convergence theory
- Convergence of convex sets and of solutions of variational inequalities
- Regularity and Stability for Convex Multivalued Functions
- On the Convergence of Sequences of Convex Sets in Finite Dimensions
- Intersection of moving convex sets in a normed space.
- Closure and upper semicontinuity results in mathematical programming, Nash and economic equilibria1
- An Embedding Theorem for Spaces of Convex Sets
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
