On the comatibility of the tangency relations of rectifiable arcs

• Autorzy: Konik, T.
• Języki publikacji: EN

Abstrakty

EN

In this paper the problem of the compatibility of the tangency relations Tli (ai, bi, k, p) (i = 1, 2) of the rectifiable arcs in the generalized metric spaces is considered. Some sufficient conditions for the compatibility of these relations of the rectifiable arcs have been given here.

Słowa kluczowe

PL

kompatybilność

EN

compatibility; tangency relations of rectifiable arcs; generalized metric spaces

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2007
• Tom: Vol. 6, nr 1
• Strony: 103-108
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Konik, T.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Waliszewski W., On the tangency of sets in generalized metric spaces, Ann. Polon. Math. 1973, 28, 275-284.
• [2] Konik T., On the reflexivity symmetry and transitivity of the tangency relations of sets of the class Mp,k, J. Geom. 1995, 52, 142-151.
• [3] Konik T., On some tangency relation of sets, Publ. Math. Debrecen 1999, 55/3-4, 411-419.
• [4] Chądzyńska A., On some classes of sets related to the symmetry of the tangency relation in a metric space, Ann. Soc. Math. Polon., Comm. Math. 1972, 16, 219-228.
• [5] Waliszewski W., On the tangency of sets in a metric space, Colloq. Math. 1966, 15, 127-131.
• [6] Konik T., On some property of the tangency relation of sets, Balkan Journal of Geometry and Its Applications 2007, 12(1), 76-84.
• [7] Konik T., On the sets of the classes Mp,k, Demonstratio Math. 2000, 33(2), 40-417.
• [8] Gołąb S., Moszner Z., Sur le contact des courbes dans les espaces metriques généraux, Colloq. Math. 1963, 10, 105-311.
• [9] Pascali E., Tangency and ortogonality in metric spaces, Demonstratio Math. 2005, 38(2), 437-449.