About the equivalence of the tangency relation of arcs

• Autorzy: Konik T.
• Języki publikacji: EN

Abstrakty

EN

In this paper the problem of the equivalence of the tangency relation Tl (a, b, k, p) of the rectifiable arcs in the generalized metric spaces is considered. Some sufficient conditions for the equivalence of this relation of the rectifiable arcs have been given here.

Słowa kluczowe

EN

equivalence problem; tangency relation of arcs; generalized metric spaces

PL

problem równoważności; przestrzenie metryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2008
• Tom: Vol. 7, nr 2
• Strony: 43--49
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Konik T.

• Institute of Mathematics, 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 some tangency relation of sets, Publ. Math. Debrecen 1999, 55/3-4, 411-419.
• [3] Konik T., On some property of the tangency relation of sets, Balkan Journal of Geometry and Its Applications 2007, 12(1), 76-84.
• [4] Konik T., On the compatibility of the tangency relations of rectifiable arcs, Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology 2007, 1(6), 103-108.
• [5] Waliszewski W., On the tangency of sets in a metric space, Colloq. Math. 1966, 15, 127-131.
• [6] Gołąb S., Moszner Z., Sur le contact des courbes dans les espaces metriques généraux, Colloq. Math. 1963, 10, 105-311.
• [7] Konik T., On the sets of the classes Mp,k, Demonstratio Math. 2000, 33(2), 407-417.
• [8] Pascali E., Tangency and ortogonality in metric spaces, Demonstartio Math. 2005, 38(2), 437-449.