The stability radius of an efficient solution in minimax Boolean programming problem
Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification
The paper concerns the study of tilt stability of local minimizers in standard problems of nonlinear programming. This notion plays an important role in both theoretical and numerical aspects of optimization and has drawn a lot of attention in optimization theory and its applications, especially in recent years. Under the classical Mangasarian-Fromovitz Constraint Qualification, we establish relationships between tilt stability and some other stability notions in constrained optimization. Involving...
Topological degree for maximal monotone operators and application to parametric optimization problems.
Two characterizations of Pareto minima in convex multicriteria optimization
Two conditions are given each of which is both necessary and sufficient for a point to be a global Pareto minimum. The first one is obtained by studying programs where each criterion appears as a single objective function, while the second one is given in terms of a "restricted Lagrangian". The conditions are compared with the familiar characterizations of properly efficient and weakly efficient points of Karlin and Geoffrion.
Two convergence results for continuous descent methods.
Über die Stabilität von Lösungen im Transportproblem der linearen Programmierung
Un algorithme pour résoudre une famille de problèmes de localisation multisources
Unification of the abstract duality scheme
Variational approach to shape derivatives
A general framework for calculating shape derivatives for optimization problems with partial differential equations as constraints is presented. The proposed technique allows to obtain the shape derivative of the cost without the necessity to involve the shape derivative of the state variable. In fact, the state variable is only required to be Lipschitz continuous with respect to the geometry perturbations. Applications to inverse interface problems, and shape optimization for elliptic systems...
Zu einem Resultat von K. Lommatzsch über allgemeine quadratische Optimierungsprobleme
In der vorliegenden Arbeit leiten wir ein hinreichendes Kriterium für lokale Optimalität bei allgemeinen quadratischen Optimierungsproblemen her. Wir verwenden dabei in Anlehnung an die lineare parametrische Optimierung gewisse Stabilitätsmengen, wie sie erstmals K. Lommatzsch verwendet hat.
-Субдифференциалы и -оптимальность
Двойственность многокритериальных задач
К вопросу установления совместности систем линейных неравенств с правыми частями, зависящими от параметров
О множестве эффективных точек в линейных многокритериальных задачах
Последовательный алгоритм глобальной минимизации
Сопряженная производная многозначного отображения и дифференцируемость максимума при связанных ограничениях.