Spherical maps
Stable approximations of set-valued maps
Stationary points for set-valued mappings on two metric spaces.
Strong convergence and Dini theorems for non-uniform spaces
Strongly paracompact metrizable spaces
Strongly paracompact metrizable spaces are characterized in terms of special S-maps onto metrizable non-Archimedean spaces. A similar characterization of strongly metrizable spaces is obtained as well. The approach is based on a sieve-construction of "metric"-continuous pseudo-sections of lower semicontinuous mappings.
Subopen multifunctions and selections
Super and strongly faintly continuous multifunctions.
Support results via exceptional sets in Banach spaces
Sur la classificaton des continus héréditairment unicohérents
Sur la frontière d'un convexe mobile
Siano , sottoinsiemi convessi, chiusi e limitati di uno spazio normato , con le frontiere , . Dimostriamo che , dove è la metrica di Hausdorff tra sottoinsiemi chiusi di . Studiamo inoltre la continuità e la semicontinuità superiore ed inferiore di una multifunzione di tipo «frontiera».
Sur les sélecteurs des multifonctions
The convergence space of minimal usco mappings
A convergence structure generalizing the order convergence structure on the set of Hausdorff continuous interval functions is defined on the set of minimal usco maps. The properties of the obtained convergence space are investigated and essential links with the pointwise convergence and the order convergence are revealed. The convergence structure can be extended to a uniform convergence structure so that the convergence space is complete. The important issue of the denseness of the subset of all...
The Converse To An Ascoli's Type Theorem
The converse to an Ascoli's type theorem.
The distribution of unbounded random sets and the multivalued strong law of large numbers in nonreflexive Banach spaces.
The dual form of Knaster-Kuratowski-Mazurkiewicz principle in hyperconvex metric spaces and some applications
In this paper, we first establish the dual form of Knaster- Kuratowski-Mazurkiewicz principle which is a hyperconvex version of corresponding result due to Shih. Then Ky Fan type matching theorems for finitely closed and open covers are given. As applications, we establish some intersection theorems which are hyperconvex versions of corresponding results due to Alexandroff and Pasynkoff, Fan, Klee, Horvath and Lassonde. Then Ky Fan type best approximation theorem and Schauder-Tychonoff fixed point...
The fixed point property for set-valued mappings
The fixed point property for set-valued mappings of some acyclic curves
The generalization of Cellina's Fixed Point Theorem
The homotopies of admissible multivalued mappings
Certain properties of homotopies of admissible multivalued mappings shall be presented, along with their applications as the tool for examining the acyclicity of a space.