Vector Optimization Results for -Stable Data
The aim of this paper is to summarize basic facts about -stable at a point vector functions and existing results for certain vector constrained programming problem with -stable data.
Weak* sequential compactness and bornological limit derivatives.
When some variational properties force convexity
The notion of adequate (resp. strongly adequate) function has been recently introduced to characterize the essentially strictly convex (resp. essentially firmly subdifferentiable) functions among the weakly lower semicontinuous (resp. lower semicontinuous) ones. In this paper we provide various necessary and sufficient conditions in order that the lower semicontinuous hull of an extended real-valued function on a reflexive Banach space is essentially strictly convex. Some new results on nearest...
-porosity is separably determined
We prove a separable reduction theorem for -porosity of Suslin sets. In particular, if is a Suslin subset in a Banach space , then each separable subspace of can be enlarged to a separable subspace such that is -porous in if and only if is -porous in . Such a result is proved for several types of -porosity. The proof is done using the method of elementary submodels, hence the results can be combined with other separable reduction theorems. As an application we extend a theorem...
Квазидифференцируемость вещественнозначных функций и условия локального экстремума.
Конечный метод отыскания точки множества, заданного выпуклым дифференцируемым функционалом
О производных по направлениям квазивыпуклых функционалов
Обобщенные дифференциалы негладких функций и необходимые условия экстремума.
Применение метода сопряженных субградиентов км минимизации квазивыпуклых функционалов