Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Powiadomienia systemowe

Sesja wygasła!
Sesja wygasła!
Sesja wygasła!
Sesja wygasła!

Znaleziono wyników: 6

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On E-continuity and E-minimality of multifunctions of two variables

Strońska E.

Demonstratio Mathematica

2009

Vol. 42, nr 1

47-52

In this article we formulate and prove some sufficient conditions for the l-Ex xy-continuity and the Ex x y- minimality of multifunctions of two variables.

On the integral quasicontinuity

Grande Z., Strońska E.

Journal of Applied Analysis

2006

Vol. 12, nr 2

233-248

A function f : R w indeksie górnym m → R satisfies the condition [wzór] (resp. [wzór]) at a point x ∈ R w indeksie górnym m if for each real ε > 0 and for each set U ∋ x belongong to Euclidean topology in R w indeksie górnym (resp. to the strong density topolgy [to the ordinary density topology]) there is an open set 0 such that 0 ∩ U ≠ Ø and [wzór]. These notions are some analogies are some analogies of the quasicontinuity or the approximate quasicontinuity. In this article we compare these notions with the classical notion of the quasicontinuity.

On the convergence of sequences of functions which are discontinuous on countable sets

Grande Z., Strońska E.

Journal of Applied Analysis

2005

Vol. 11, nr 2

247-259

Let (X, Tx) be a topological space and let (Y, dy) be a metric space. For a function f : X → y denote by C(f) the set of all continuity points of f and by D(f) = X\C(f) the set of all discontinuity points of f. Let C(X,Y) = {f : X → Y; f is continuous}, H(X, Y) = {f: X →Y; D{f) is countable}, H1(X, Y) = {f: X → Y; ∃h ∈c(x,Y) {x; f(x) ≠ h{x)} is countable}, and H2(X, Y) = H(X, Y) ∩ H1(X, Y). In this article we investigate some convergences (pointwise, uniform, quasiuniform, discrete and transfinite) of sequences of functions from H(X, Y), H1(X, Y) and H2(X, Y).

On some special notions of approximate quasicontinuity on Rm

Strońska E.

Demonstratio Mathematica

2005

Vol. 38, nr 3

533--550

Some special notions of approximate quasicontinuity on Rm and the uniform, pointwise, transfinite and the discrete convergence of sequences of such functions are investigated.

On universal elements for some families of functions

Grande Z., Strońska E.

Demonstratio Mathematica

2004

Vol. 37, nr 3

679--688

A point x C X is called universal element for a family phi of functions from X to y if the set {f(x)\f 6 phi} is dense in Y. In this article we show that every residual G- set in a completely regular space X (every residual set in R ) is the set of all universal elements for some family of continuous functions from X to R (for some family of quasicontinuous functions from Rk to R). Moreover we investigate the sets of all universal elements for some families of monotone functions and for some families of functions having the property of Denjoy-Clarkson.

On an ideal of linear sets

Grande Z., Strońska E.

Demonstratio Mathematica

2003

Vol. 36, nr 2

307--311

In this article we investigate the ideal of linear sets A such that for each nonempty set U contained in the closure cl(A) of A and belonging to the density topology the intersection U D A is a nowhere dense subset of U.