Well-posedness criteria in optimization with application to the calculus of variations
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Publication:4863526
DOI10.1016/0362-546X(94)00142-5zbMath0841.49005OpenAlexW2040354950WikidataQ127343129 ScholiaQ127343129MaRDI QIDQ4863526
Publication date: 16 July 1996
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(94)00142-5
Existence theories for problems in abstract spaces (49J27) Mathematical programming (90C99) Optimality conditions (49K99)
Related Items (70)
Levitin–Polyak Well-Posedness of Strong Parametric Vector Quasi-equilibrium Problems ⋮ Levitin-Polyak well-posedness for vector optimization problems in linear spaces ⋮ Generic well-posedness of variational problems without convexity assumptions ⋮ Levitin-Polyak well-posedness for parametric quasivariational inequality problem of the Minty type ⋮ Calmness and Stability Properties of Marginal and Performance Functions ⋮ Levitin-Polyak well-posedness of variational inequality problems with functional constraints ⋮ Extended well-posedness of optimization problems ⋮ Well-posedness for parametric strong vector quasi-equilibrium problems with applications ⋮ Well-posed control problems related to second-order differential inclusions ⋮ Generalized \(B\)-well-posedness for set optimization problems ⋮ Set-valued increasing-along-rays maps and well-posed set-valued star-shaped optimization ⋮ Well-posedness of the split inverse variational inequality problem ⋮ Levitin-Polyak well-posedness by perturbations of split minimization problems ⋮ Levitin-Polyak well-posedness for split equilibrium problems ⋮ Minimizing irregular convex functions: Ulam stability for approximate minima ⋮ Well-posedness for generalized quasi-variational inclusion problems and for optimization problems with constraints ⋮ Well-posedness by perturbations of generalized mixed variational inequalities in Banach spaces ⋮ Metric characterizations of \(\alpha\)-well-posedness for a system of mixed quasivariational-like inequalities in Banach spaces ⋮ Levitin-Polyak well-posedness of a generalized mixed variational inequality in Banach spaces ⋮ Levitin-Polyak well-posedness by perturbations of inverse variational inequalities ⋮ Well-posedness under relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints ⋮ Various types of well-posedness for vector equilibrium problems with respect to the lexicographic order ⋮ Unnamed Item ⋮ Levitin-Polyak well-posedness in vector quasivariational inequality problems with functional constraints ⋮ Levitin-Polyak Well-Posedness of Constrained Inverse Quasivariational Inequality ⋮ Levitin-Polyak well-posedness of an equilibrium-like problem in Banach spaces ⋮ Well-posedness without semicontinuity for parametric quasiequilibria and quasioptimization ⋮ Well-posedness of mixed variational inequalities, inclusion problems and fixed point problems ⋮ Levitin-Polyak well-posedness for lexicographic vector equilibrium problems ⋮ Levitin-Polyak well-posedness for equilibrium problems with functional constraints ⋮ Generic well-posedness for a class of equilibrium problems ⋮ Increasing-along-rays property, vector optimization and well-posedness ⋮ On well-posedness for parametric vector quasiequilibrium problems with moving cones. ⋮ Levitin-Polyak well-posedness by perturbations for the split inverse variational inequality problem ⋮ Parametric well-posedness for variational inequalities defined by bifunctions ⋮ The well-posedness for a system of generalized quasi-variational inclusion problems ⋮ Estimates of approximate solutions and well-posedness in vector optimization ⋮ Levitin-Polyak well-posedness for constrained quasiconvex vector optimization problems ⋮ Well-posedness of generalized mixed variational inequalities, inclusion problems and fixed-point problems ⋮ Well-posedness by perturbations for variational-hemivariational inequalities ⋮ Extended \(B\)-well-Posedness and property (H) for set-valued vector optimization with convexity ⋮ Well-posedness for parametric generalized vector quasivariational inequality problems of the minty type ⋮ Generic well-posedness of nonconvex optimal control problems ⋮ Well-posedness for systems of generalized mixed quasivariational inclusion problems and optimization problems with constraints ⋮ Generic well-posedness of minimization problems with mixed continuous constraints. ⋮ Levitin–Polyak Well-Posedness of Vector Variational Inequality Problems with Functional Constraints ⋮ Well-posedness for generalized set equilibrium problems ⋮ Generic well-posedness of minimization problems with mixed smooth constraints ⋮ On well-posedness of the multiobjective generalized game ⋮ Well-posedness for parametric quasivariational inequality problems and for optimization problems with quasivariational inequality constraints ⋮ Levitin-Polyak well-posedness of generalized quasivariational inequalities with functional constraints ⋮ Estimates of approximate solutions and well-posedness for variational inequalities ⋮ Characterizations of Levitin–Polyak well-posedness by perturbations for the split variational inequality problem ⋮ Well-posedness by perturbations of variational problems ⋮ Levitin-Polyak well-posedness for equilibrium problems with the lexicographic order ⋮ Well-posedness for equilibrium problems and for optimization problems with equilibrium constraints ⋮ Tykhonov well-posedness for lexicographic equilibrium problems ⋮ Metric characterizations of \(\alpha \)-well-posedness for symmetric quasi-equilibrium problems ⋮ Well-posedness by perturbations of mixed variational inequalities in Banach spaces ⋮ Levitin-Polyak well-posedness of variational inequalities ⋮ On Well-Posedness for Perturbed Quasi-Equilibrium and Quasi-Optimization Problems ⋮ Well-posed optimal control problems ⋮ Extended well-posedness properties of vector optimization problems ⋮ Levitin-Polyak well-posedness by perturbations for the split hemivariational inequality problem on Hadamard manifolds ⋮ Typical convex program is very well posed ⋮ Levitin–Polyak well-posedness of generalized bilevel equilibrium problem with perturbations ⋮ Tykhonov well-posedness for quasi-equilibrium problems ⋮ A note on pointwise well-posedness of set-valued optimization problems ⋮ Well-posedness and porosity in the calculus of variations without convexity assumptions ⋮ Approximations and well-posedness in multicriteria games
Cites Work
- Well-posed optimization problems
- The Cauchy problem for a nonlinear first order partial differential equation
- Optimization and nonsmooth analysis
- The Value Function in Optimal Control: Sensitivity, Controllability, and Time-Optimality
- Metric projections and the differentiability of distance functions
- Nonconvex minimization problems
- Nonuniqueness of Solutions in the Calculus of Variations: A Geometric Approach
- Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces
- Gradients of Convex Functions
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