-continuity and closed graphs
Characterization of strongly exposed points in .
Characterizations of Some Classes of Perfect Spaces in Terms of Continuous Selections Avoiding Supporting Sets
Some kinds of perfect spaces, including paracompact perfectly normal spaces and collectionwise normal perfect spaces, are characterized in terms of continuous selections avoiding supporting sets. A necessary and sufficient condition on a domain space for a selection theorem of E. Michael [Fund. Math. 47 (1959), 173-178] to hold is also obtained.
Cliff functions - a tool for treating sequences of composed functions.
Cliff functions - a tool for treating sequences of composed functions. (Short Communication).
Closed graph multi-selections
A classical Lefschetz result about point-finite open covers of normal spaces is generalised by showing that every lower semi-continuous mapping from a normal space into the nonempty compact subsets of a metrizable space admits a closed graph multi-selection. Several applications are given as well.
CM-selectors for pairs of oppositely semicontinuous multifunctions and some applications to strongly nonlinear inclusions.
CM-Selectors for pairs of oppositely semicontinuous multivalued maps with -decomposable values
We present a new continuous selection theorem, which unifies in some sense two well known selection theorems; namely we prove that if F is an H-upper semicontinuous multivalued map on a separable metric space X, G is a lower semicontinuous multivalued map on X, both F and G take nonconvex -decomposable closed values, the measure space T with a σ-finite measure μ is nonatomic, 1 ≤ p < ∞, is the Bochner-Lebesgue space of functions defined on T with values in a Banach space E, F(x) ∩ G(x) ≠ ∅...
Coincidence and fixed point theorems for nonlinear hybrid generalized contractions
In this paper we first prove some coincidence and fixed point theorems for nonlinear hybrid generalized contractions on metric spaces. Secondly, using the concept of an asymptotically regular sequence, we give some fixed point theorems for Kannan type multi-valued mappings on metric spaces. Our main results improve and extend several known results proved by other authors.
Coincidence point theorems in certain topological spaces
In this paper, we establish some new versions of coincidence point theorems for single-valued and multi-valued mappings in F-type topological space. As applications, we utilize our main theorems to prove coincidence point theorems and fixed point theorems for single-valued and multi-valued mappings in fuzzy metric spaces and probabilistic metric spaces.
Coincidence points for contraction type maps.
Coincidence theorems for certain classes of hybrid contractions.
Coincidence theorems for contractive type multivalued mappings.
Common fixed point of multivalued generalized -weak contractive mappings.
Common fixed point theorems and applications.
Common fixed point theorems for compatible and weakly compatible mappings.
Common fixed point theorems in Menger spaces.
Common fixed points of generalized contractive hybrid pairs in symmetric spaces.
Common fixed points of set-valued mappings.
Compactness and convergence of set-valued measures
We prove criteria for relative compactness in the space of set-valued measures whose values are compact convex sets in a Banach space, and we generalize to set-valued measures the famous theorem of Dieudonné on convergence of real non-negative regular measures.