On the selector problems for the partitions of Polish spaces and for the compact-valued mappings
On the tangency of multifunctions
On upper and lower -continuous multifunctions
On upper and lower -continuous multifunctions.
On upper and lower weakly -continuous multifunctions.
On weak convergence to the fixed point of a generalized asymptotically nonexpansive map.
On -continuous selections of small multifunctions and covering properties
The spaces for which each -continuous function can be extended to a -small point-open l.s.cṁultifunction (resp. point-closed u.s.cṁultifunction) are studied. Some sufficient conditions and counterexamples are given.
Open maps having the Bula property
An open continuous map f from a space X onto a paracompact C-space Y admits two disjoint closed sets F₀,F₁ ⊂ X with f(F₀) = Y = f(F₁), provided all fibers of f are infinite and C*-embedded in X. Applications are given to the existence of "disjoint" usco multiselections of set-valued l.s.c. mappings defined on paracompact C-spaces, and to special type of factorizations of open continuous maps from metrizable spaces onto paracompact C-spaces. This settles several open questions.
Painlevé-Kuratowski convergences for the solution sets of set-valued weak vector variational inequalities.
Periodic solutions for nonautonomous differential equations and inclusions in tubes.
Poincaré's recurrence theorem for set-valued dynamical systems
Abstract. The existence theorem of an invariant measure and Poincare's Recurrence Theorem are extended to set-valued dynamical systems with closed graph on a compact metric space.
Polynomial set-valued functions
The aim of this paper is to give a necessary and sufficient condition for a set-valued function to be a polynomial s.v. function of order at most 2.
Proto-differentiability of set-valued mappings and its applications in optimization
Quasi continuous selections of upper Baire continuous mappings
Quasicontinuity and related properties of functions and multivalued maps
The main results presented in this paper concern multivalued maps. We consider the cliquishness, quasicontinuity, almost continuity and almost quasicontinuity; these properties of multivalued maps are characterized by the analogous properties of some real functions. The connections obtained are used to prove decomposition theorems for upper and lower quasicontinuity.
Quasi-continuous multivalued mappings
Quasi-nonexpansive multi-valued maps and selections
Quelques remarques sur la quasi-continuité des multifonctions
Random differential inclusions: Measurable selection approach
Random theorems in topology