Analyse de récession et résultats de stabilité d'une convergence variationnelle, application à la théorie de la dualité en programmation mathématique
DOI10.1051/cocv:2003014zbMath1073.49006OpenAlexW2032570671MaRDI QIDQ4422718
Publication date: 20 August 2003
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=COCV_2003__9__297_0
stabilityquasi-continuitydualityconvex functionlinear operatorAttouch-Wets convergenceepiconvergenceuniform convergence on bounded setsapproximation and optimization.horizon (function) coneinf-(local) compacityMoso convergence
Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Hyperspaces in general topology (54B20) Methods involving semicontinuity and convergence; relaxation (49J45) Convexity of real functions in one variable, generalizations (26A51)
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Cites Work
- Well-posed optimization problems
- Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method
- On the convergence of subdifferentials of convex functions
- Convergence of convex-concave saddle functions: Applications to convex programming and mechanics
- Convergence de fonctionnelles convexes
- Convex analysis and measurable multifunctions
- On the relations between two types of convergence for convex functions
- Sur la séparation des ensembles convexes
- Convergence of convex sets and of solutions of variational inequalities
- On the continuity of the Young-Fenchel transform
- On Mosco convergence of convex sets
- Optimum Properties and Admissibility of Sequential Tests
- Preservation of Convergence of Convex Sets and Functions in Finite Dimensions
- Quantitative Stability of Variational Systems: I. The Epigraphical Distance
- The EPI-Distance Topology: Continuity and Stability Results with Applications to Convex Optimization Problems
- The slice topology: a viable alternative to mosco convergence in nonreflexive spaces
- Set Convergences. An Attempt of Classification
- Attouch-Wets Convergence and a Differential Operator for Convex Functions
- Variational Analysis
- Convex Optimization and the Epi-Distance Topology
- Conjugate Convex Functions and the Epi-Distance Topology
- Stability results of a class of well-posed optimization problems
- Slice convergence: stabilité et optimisation dans les espaces non réflexifs
- Proximité et dualité dans un espace hilbertien
- Level Sets and Continuity of Conjugate Convex Functions
- Convergence of Sequences of Convex Sets, Cones and Functions. II
- Convex Analysis
- Convergence of sequences of convex sets, cones and functions
- Operations on convergent families of sets and functions
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