A note on Ascol's theorem for spaces of multifunctions.
A note on multivalued Baire category theorem
A note on “Some results on multi-valued weakly Jungck mappings in b-metric space”
The proofs of Theorems 2.1, 2.2 and 2.3 from [Olatinwo M.O., Some results on multi-valued weakly jungck mappings in b-metric space, Cent. Eur. J. Math., 2008, 6(4), 610–621] base on faulty evaluations. We give here correct but weaker versions of these theorems.
A note on the minimal essential set of coincident points for set-valued mappings.
A random fixed point theorem for multivalued mappings
A remark on almost continuous multifunctions
A reverse viewpoint on the upper semicontinuity of multivalued maps
For a multivalued map between topological spaces, the upper semifinite topology on the power set is such that is upper semicontinuous if and only if it is continuous when viewed as a singlevalued map . In this paper, we seek a result like this from a reverse viewpoint, namely, given a set and a topology on , we consider a natural topology on , constructed from satisfying if , and we give necessary and sufficient conditions to the upper semicontinuity of a multivalued map ...
A sandwich with convexity for set-valued functions.
A selection theorem for Boolean correspondences.
A selection theorem for open-graph multifunctions
A theorem of Borsuk-Ulam type for multifunctions
A topological lattice on the set of multifunctions.
A variational problem for couples of functions and multifunctions with interaction between leaves
We discuss a variational problem defined on couples of functions that are constrained to take values into the 2-dimensional unit sphere. The energy functional contains, besides standard Dirichlet energies, a non-local interaction term that depends on the distance between the gradients of the two functions. Different gradients are preferred or penalized in this model, in dependence of the sign of the interaction term. In this paper we study the lower semicontinuity and the coercivity of the energy...
About the inverse operations on the hyperespace of nonlinear monotone operators.
Absolutely continuous selections from absolutely continuous set valued map
Addendum to the paper: “Some fixed point theorems for multivalued mappings”
Additive selections of superadditive set-valued functions.
Admissible maps, intersection results, coincidence theorems
We obtain generalizations of the Fan's matching theorem for an open (or closed) covering related to an admissible map. Each of these is restated as a KKM theorem. Finally, applications concerning coincidence theorems and section results are given.
Almost continuous multifunctions
Almost lower semicontinuous multifunctions and the Souslin-graph theorem