Non-singular set-valued compact fields in locally convex spaces
Norm-to-weak upper semicontinuous monotone operators are generically strongly continuous.
Note on the selection properties of set-valued semimartingales
Set-valued semimartingales are introduced as an extension of the notion of single-valued semimartingales. For such multivalued processes their semimartingale selection properties are investigated.
Notes on approximation in the Musielak-Orlicz sequence spaces of multifunctions
We introduced the notion of -boundedness of a filtered family of operators in the Musielak-Orlicz sequence space of multifunctions. This notion is used to get the convergence theorems for the families of -linear operators, -dist-sublinear operators and -dist-convex operators. Also, we prove that is complete.
On a characterization of quasicontinuous multifunctions
On a class of multi-valued vector fields in Banach spaces
On a simultaneous selection theorem
Valov proved a general version of Arvanitakis's simultaneous selection theorem which is a common generalization of both Michael's selection theorem and Dugundji's extension theorem. We show that Valov's theorem can be extended by applying an argument by means of Pettis integrals due to Repovš, Semenov and Shchepin.
On a theorem of Popa and Noiri on multifunctions
On Absolutely Closed Multivalued Mappings of Topological Spaces
On accretive multivalued mappings in Banach spaces
On almost and weak forms of continuity of functions and multifunctions
On almost coincidence points in generalized convex spaces.
On approximation by step multifunctions without compactness conditions
On approximation of multifunctions with respect to the Vietoris topology
On Borel properties of semi-continuous multifunctions
On Carathéodory type multifunctions
On Carathéodory type selections
On Choquet's theory
On Ciric's fixed point theorem
On common fixed points, periodic points, and recurrent points of continuous functions.