doc. RNDr. Ivan Kupka, CSc.

miestnosť (room): M 175
telefón (phone): (02/602 95) 832
e-mail: Ivan.Kupka@fmph.uniba.sk

Oblasti záujmu a výskumu (Current research and areas of interest)
  • Topologia, teoria funkcii a multifunkcii, selektory (Topology, function theory, multifunction theory, selections)

Učenie (Teaching)
Publikácie (Publications)
  • I. Kupka: Continuous selections from topological to metric spaces, Rendiconti del Circolo Matematico di Palermo, Serie II. - Vol. 39, (1990), p. 427-435
  • I. Kupka: A Banach fixed point theorem for topological spaces, Revista Colombiana de Matematicas. - Vol. 26, No. 1-4, (1992), p. 95-100
  • I. Kupka, V. Toma : Measure of noncompactness in toplogical spaces and upper semicontinuity of multifunctions, Revue Roumaine de Mathématiques Pures et Appliquées. - Vol. 40, No. 5-6, (1995), p. 455-461
  • I. Kupka, V. Toma : A uniform convergence for non-uniform spaces, Publicationes Mathematicae Debrecen. - Vol. 47, No. 3-4 (1995), s. 299-309
  • I. Kupka: Existence of quasicontinuous selections for the space 2R, Mathematica Bohemica. - Vol. 121, No. 2, (1996), s. 157-163
  • I. Kupka: Continuous multifunction from [-1,0] to R having no continuous selection, Publicationes Mathematicae Debrecen. - Vol. 48, No. 3-4, (1996), s. 367-370
  • I. Kupka: A generalized uniform convergence and Dini's theorem, New Zealand Journal of Mathematics. - Vol. 26, No. 1, (1997), p. 67-72
  • I. Kupka, Ľ. Holá: Strong convergence on compact sets and fixed points, Słupskie Prace Matematyczno-Fizyczne. - No. 4 (2007), s. 47-55
  • I. Kupka, J. Dravecký, M. Pakanec : On projection measurability of functions and multifunctions, Mathematica Slovaca. - Vol. 42, No. 3, (1992), p. 275-278
  • I. Kupka: Quasicontinuous selections for compact-valued multifunctions, Mathematica Slovaca. - Vol. 43, No. 1, (1993), p. 69-75
  • I. Kupka: A strong type of continuity natural for compact spaces, Tatra Mountains Mathematical Publications. - Vol. 14, (1998), p. 17-27, http://www.mat.savba.sk/tatra/paper.php?id_paper=72
  • I. Kupka: Topological conditions for the existence of fixed points, Mathematica Slovaca. - Vol. 48, No. 3, (1998), p. 315-321
  • I. Kupka: Convergences preserving the fixed point property, Mathematica Slovaca. - Vol. 50, No. 4, (2000), s. 483-494, http://www.mat.savba.sk/maslo/maslo.mat.savba.sk/Full/50/4/KUPKA.ps
  • I. Kupka: Quasicontinuous selections for closed-valued multifunctions, Mathematica Slovaca. - Vol. 52, No. 1, (2002), p. 67-78
  • I. Kupka: A convergence preserving upper and lower semicontinuity of multifunctions, Tatra Mountains Mathematical Publications. - Vol. 24 (2002), s. 7-10, http://www.mat.savba.sk/tatra/paper.php?id_paper=585
  • I. Kupka: Continuos selections for Lipschitz multifunctions, Acta Mathematica Universitatis Comenianae-New Series. - Vol. 74, No. 1 (2005), s. 133-141
  • I. Kupka, Ľ. Holá: Closed graph and open mapping theorems for linear relations, Acta Mathematica Universitatis Comenianae, Vol. 46-47. - Bratislava : Alfa, 1985. - S. 157-162
  • I. Kupka: On some clases of sets related to generalized continuity, Acta Mathematica Universitatis Comenianae, Vol. 56-57. - Bratislava : Alfa, 1990. - S. 55-61
  • I. Kupka: Quasicontinuous selections for one-to-finite multifunctions, Acta Mathematica Universitatis Comenianae, Vol. 58-59 . - Bratislava : Alfa, 1991. - S. 207-214
  • I. Kupka: Metafunctions, Tatra Mountains Mathematical Publications. - Vol. 34 (2006), s. S. 9-18
  • I. Kupka: Jak úspěšně studovat cizí jazyky. (How to successfully study languages – in Czech) 1. vyd. - Praha : Grada Publishing, 2007. - 154 s.
  • I. Kupka, Sh.Rezapour: 1-Type Lipschitz selections in generalized 2-normed spaces. Analysis in Theory and Applications, Vol. 24, No. 3 (2008), s. 205-210
  • I. Kupka: Compacts and convergences. Arabian Journal for Science and Engineering, Vol. 34, No. 1D (2009), s. 131-135
  • I Kupka: On Similarity of Functions, Top. Proc. 36 (2010) pp. 173-187.