On sets of some classes and their tengency

• Autorzy: Konik T.
• Języki publikacji: EN

Abstrakty

EN

In this paper the problem of the tangency of sets of some classes having the Darboux property in a generalized metric space is considered. Some sufficient and necessary conditions for the tangency of sets of these classes have been given here.

Słowa kluczowe

EN

generalized metric space; tangency of sets; Darboux property

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2003
• Tom: Vol. 2, nr 1
• Strony: 61--68
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Konik T.

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

Bibliografia

• [1] 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.
• [2] Gołąb S., Moszner Z., Sur le contact des courbes dans les espaces metriques généraux, Colloq. Math. 1963, 10, 105-311.
• [3] Grochulski J., Some properties of tangency relations, Demonstratio Math. 1995, 28, 361-367.
• [4] Grochulski J., Konik T., Tkacz M., On the tangency of sets in metric spaces, Ann. Polon. Math. 1980, 38, 121-131.
• [5] Haantjes J., Nottrot R., Distance geometry. Directions in metric spaces. Torsion, Indag. Math. 1955, 17, 405-410.
• [6] 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.
• [7] Konik T., The compatibility of the tangency relations of sets in generalized metric spaces, Mat. Vesnik 1998, 50, 17-22.
• [8] Konik T., On some tangency relation of sets, Publ. Math. Debrecen 1999, 55/3-4, 411-419.
• [9] Konik T., On the compatibility and the equivalence of the tangency relations of sets of the classes A*p,k, J. Geom. 1998, 63, 124-133.
• [10] Konik T., On the sets of the classes Mp,k, Demonstratio Math. 2000, 33(2), 407-417.
• [11] Waliszewski W., On the tangency of sets in a metric space, Colloq. Math. 1966, 15, 127-131.
• [12] Waliszewski W., On the tangency of sets in generalized metric spaces, Ann. Polon. Math. 1973, 28, 275-284.

Uwagi

EN

The papers have been presented during the session devoted to application of mathematics (as part of International Conference on Parallel Processing and Applied Mathematics).