SOME QUESTIONS ON PLANE CURVES

Yıl 2012, Cilt: 5 Sayı: 1, 101 - 107, 30.04.2012

E. Pascalı

Öz

Anahtar Kelimeler

Continuos plane curves, tangency

Kaynakça

• [1] Alonso, J. and Benitez, C., Orthogonality in normed linear spaces: A survey part I, II; Extracta Mathematicae 3 n.1 (1988), 1-15 and 4 n.3 (1989), 121-131.
• [2] Amir, D., Characterisation of inner product spaces, Birkauser, 1986.
• [3] Blumenthal, L. M., Distance Geometry, Oxford Univ. Press, 1953.
• [4] Buseman, H., The foundation of Minkowskian Geometry, Comm. Math. Helv. 24 (1950), 156-187.
• [5] Ewald, G. and Le Roy M.Kelly: Tangents in real Banach Spaces, Jour. für Mathematik. 203 h. 3/4 (1960), 160-173.
• [6] Golab, S. and Moszner, Z., Sur le contact des courbes dans les espaces m´etriques g´en´eraux, Colloquium Mathematicum X fasc.2 (1963), 305-311.
• [7] Grochulski, J., Konik, T. and Tkacz, M., On the tangency of sets in metric spaces, Annales Polonici Mathematici, XXXVIII (1980), 121-136.
• [8] Grochulski, J., Konik, T. and Tkacz, M., On some relations of tangency of arcs in metric spaces, Demonstratio Mathematica 11 (1978), 567-582.
• [9] Grochulski, J., Konik, T. and Tkacz, M., On the equivalence of certain relations of tangency of arcs in metric spaces, Demonstratio Mathematica 11 (1978), 261-271.
• [10] Pauc, C., La m´ethod metric en calcul des variations, Actualit´es Scientifiques et Industrielles, 885, Hermann & C (1941).
• [11] Pascali, E., Derivazione e spazi metrici, Preprint Dip.di Matematica di Lecce, 3 (1995), 1-20.
• [12] Pascali, E., Tangency and Orthogonality in Metric Spaces, Demonstratio Mathematica, vol. XXXVIII n.2 (2005), 437-449
• [13] Konik, T., On the tangency of sets of some class in generalized metric spaces, Demonstratio Mathematica, vol.XXII 4 (1989), 1093-1107.
• [14] Konik, T., On the tangency of sets, Demonstratio Mathematica, vol XXV 4 (1992), 737-746.
• [15] Tricot, C., Curves and Fractal Dimension, Springer-Verlag, 1995.
• [16] Waliszewski, W., On the tangency of sets in metric spaces, Colloquium Mathematicum, XV 1 (1966), 129-133.
• [17] Waliszewski, W., On the tangency of sets in generalized metric spaces, Annales Polonici Mathematici vol. XXVIII (1973), 275-284.