Stationarity and regularity concepts for the three typical for variational analysis classes of objects – real-valued functions, collections of sets, and multifunctions – are investigated. An attempt is maid to present a classification scheme for such concepts and to show that properties introduced for objects from different classes can be treated in a similar way. Furthermore, in many cases the...

In this paper, the concept of completely N-continuous multifunction is defined and their basic characterizations and properties are obtained.

The purpose of this paper is to study the solvability for a class of generalized strong vector variational-like inequalities in reflexive Banach spaces. Firstly, utilizing Brouwer’s fixed point theorem, we prove the solvability for this class of generalized strong vector variational-like inequalities without monotonicity assumption under some quite mild conditions. Secondly, we introduce the ne...

Dual topology for the function space topologies multifunctions are introduced and investigated. It is found that a T on CM(Y,Z) splitting (resp. admissible) if only its dual pair (T+,T?) admissible). Similarly, T(T+,T?)