8 citations · 9 across the 7 of their papers we have counts for
9 papers
Frechet differentiability via partial Frechet differentiability
Ludek Zajicek
Let be Banach spaces and a real function on . Let be the set of all points at which is partially Fr\' echet…
On sets of discontinuities of functions continuous on all lines
Ludek Zajicek
Answering a question asked by K.C. Ciesielski and T. Glatzer in 2013, we construct a -smooth function on and a set nowhere dense…
A characterization of sets in with DC distance function
Dušan Pokorný, Luděk Zajíček
We give a complete characterization of closed sets whose distance function is DC (i.e., is the difference of two convex func…
On sets in with DC distance function
Dušan Pokorný, Luděk Zajíček
We study closed sets whose distance function is DC (i.e., is the difference of two convex functions on ). Our…
Smallness of the set of critical values of distance functions in two-dimensional Euclidean and Riemannian spaces
Jan Rataj, Ludek Zajicek
We study how small is the set of critical values of the distance function from a compact (resp. closed) set in the plane or in a connected complete two-dimensional Riemannian manif…
G\^ ateaux and Hadamard differentiability via directional differentiability
Ludek Zajicek
Let be a separable Banach space, a Banach space and an arbitrary mapping. Then the following implication holds at each point except a -directional…