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On compatibility of some tangency relations of sets

Konik T.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2011

Vol. 10, nr 1

123-130

In this paper some problems connected with the compatibility of the tangency relations of sets in generalized metric spaces are considered. After introducing in the first part of the paper the basic notions related to the above, in the second part we will give certain sufficient conditions for the compatibility of the tangency relations of sets of some classes.

On homogeneity of the tangency relation of arcs

Konik T.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2010

Vol. 9, nr 2

115-122

In this paper the problem of the homogeneity of some tangency relation of sets for the rectifiable arcs in the generalized metric spaces is considered. Some sufficient conditions for the homogeneity of this relation are given.

Additivity of the tangency relation of rectifiable arcs

Konik T.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2009

Vol. 8, nr 2

87-94

In this paper the problem of the additivity of some tangency relation of sets for the rectifiable arcs in the generalized metric spaces is considered. Some sufficient conditions for the additivity of this relation are given.

The tangency relation of sets of the classes A*p,k in generalized metric spaces

Konik T.

Demonstratio Mathematica

1998

Vol. 31, nr 1

203-208

In the present paper the problem of the tangency of s