Rotundity, smoothness and duality
Simultaneous almost minimization of convex functions and duals of results related to maximal monotonicity.
Slice convergence : stabilité et optimisation dans les espaces non réflexifs
Il est démontré par Mentagui [ESAIM : COCV 9 (2003) 297-315] que, dans le cas des espaces de Banach généraux, la convergence d’Attouch-Wets est stable par une classe d’opérations classiques de l’analyse convexe, lorsque les limites des suites d’ensembles et de fonctions satisfont certaines conditions de qualification naturelles. Ceci tombe en défaut avec la slice convergence. Dans cet article, nous établissons des conditions de qualification uniformes assurant la stabilité de la slice convergence...
Slice convergence: stabilité et optimisation dans les espaces non réflexifs
Il est démontré par Mentagui [ESAIM: COCV9 (2003) 297-315] que, dans le cas des espaces de Banach généraux, la convergence d'Attouch-Wets est stable par une classe d'opérations classiques de l'analyse convexe, lorsque les limites des suites d'ensembles et de fonctions satisfont certaines conditions de qualification naturelles. Ceci tombe en défaut avec la slice convergence. Dans cet article, nous établissons des conditions de qualification uniformes assurant la stabilité de la slice convergence...
Sufficient conditions and duality for multiobjective variational problems with generalized B-invexity
Support separation theorems and their applications to vector surrogate reverse duality
The Dirichlet problem with sublinear nonlinearities
We investigate the existence of solutions of the Dirichlet problem for the differential inclusion for a.e. y ∈ Ω, which is a generalized Euler-Lagrange equation for the functional . We develop a duality theory and formulate the variational principle for this problem. As a consequence of duality, we derive the variational principle for minimizing sequences of J. We consider the case when G is subquadratic at infinity.
The duality theory for general convex quadratic programs
The linear programming approach to deterministic optimal control problems
Given a deterministic optimal control problem (OCP) with value function, say , we introduce a linear program and its dual whose values satisfy . Then we give conditions under which (i) there is no duality gap
The use of monotone norms in epigraphical analysis.
Tightly proper efficiency in vector optimization with nearly cone-subconvexlike set-valued maps.
Transportation flow problems with Radon measure variables
For a multidimensional control problem involving controls , we construct a dual problem in which the variables ν to be paired with u are taken from the measure space rca (Ω,) instead of . For this purpose, we add to a Baire class restriction for the representatives of the controls u. As main results, we prove a strong duality theorem and saddle-point conditions.
Unification of the abstract duality scheme
Upper and lower bounds for minimal norm problems under linear constraints
-duality theorems for convex semidefinite optimization problems with conic constraints.
Вопросы двойственности для несобственных задач математического программирования.
Двойственность в спектральной оптимизации и числовые области семейства самосопряженных операторов
Двойственность многокритериальных задач
Экстремальные задачи, порожденные пучками операторов