Sur la fonction de choix et la fonction d'indice
Abstract
On considère quelques problèmes au sujet des solutions des équations fonctionnelles conditionnelles F(x) ∩ F(y) ≠ ∅ ⇒ F(xy) = F(x) ∩ F(y) et f(a) · f(b) ≠ 0 ⇒ f(a+b) = f(a) · f(b). On considère aussi les modifications de ces équations, certaines inclusions pour les fonctions multivalentes liées à ces équations, et on pose quelques problèmes ouverts.
References
A. Bahyrycz, The characterization of the indicator plurality function, Wyż. Szkoła Ped. Kraków. Rocznik Nauk.-Dydakt 196. Prace Matematyczne 15 (1998), 15-35.
##plugins.generic.googleScholarLinks.settings.viewInGS##
A. Bahyrycz, On a problem concerning the indicator plurality function, Opuscula Math. 21 (2001), 11-30. i } cdaK cdaK ab.
##plugins.generic.googleScholarLinks.settings.viewInGS##
A. Bahyrycz, Warunkowe równanie funkcji wyk ladniczej (L’équation conditionnelle de la fonction exponentielle), These du doctorat, Akademia Pedagogiczna, Kraków, (dactyloscrit), 2002.
##plugins.generic.googleScholarLinks.settings.viewInGS##
A. Bahyrycz, Z. Moszner, On the indicator plurality function, Publ. Math. Debrecen 61 (2002), 469-478.
##plugins.generic.googleScholarLinks.settings.viewInGS##
G.L. Forti, L. Paganoni, Description of the solution of a system of functional equations related to plurality functions: the low-dimensional cases, Results in Math. 27 (1995), 346-361.
##plugins.generic.googleScholarLinks.settings.viewInGS##
G.L. Forti, L. Paganoni, A system of functional equations related to plurality functions. A method for the construction of the solution, Aequationes Math. 52 (1996), 135-156.
##plugins.generic.googleScholarLinks.settings.viewInGS##
M. Kuczma, An introduction to the theory of functional equations and inequalities. Cauchy’s equation and Jensen’s inequality, Państwowe Wydawnictwo Naukowe – Uniwersytet Śl ,aski, Warszawa – Kraków – Katowice, 1985.
##plugins.generic.googleScholarLinks.settings.viewInGS##
K. Kuratowski, A. Mostowski, Set Theory, Polish Scientific Publishers – North- Holland Publishing Company, Warszawa – Amsterdam, 1976.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Z. Moszner, Sur les fonctions de pluralité, Aequationes Math. 47 (1994), 175- 190.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Z. Moszner, Remarques sur la fonction de pluralité, Results in Math. 50 (1995), 387-394.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Z. Moszner, La fonction d’indice et la fonction exponentielle, Annales Academiae Paedagogicae Cracoviensis 13. Studia Math. 2 (2002), 23-37.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Z. Moszner, Remark: Dans Report of Meeting. The Thirty-ninth International Symposium on Functional Equations, August 12-18, 2001, Sandbjerg, Denmark, Aequationes Math. 64 (2002), 187.
##plugins.generic.googleScholarLinks.settings.viewInGS##
F.S. Roberts, Characterisation of the plurality function, Math. Soc. Sci. 21 (1991), 101-127.
##plugins.generic.googleScholarLinks.settings.viewInGS##
F.S. Roberts, On the indicator function of plurality function, Math. Soc. Sci. 22 (1991), 163-174.
##plugins.generic.googleScholarLinks.settings.viewInGS##
F.S. Roberts, P290, Aequationes Math. 44 (1992), 124.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Z.S. Rosenbaum, P290S2, Aequationes Math. 46 (1993), 317-319.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Special session on generalized plurality functions, Dans Report of Meeting.The Twenty-ninht International Symposium on Functional Equations, June 3 – June 10, 1991, Wolfville, Canada, Aequationes Math. 43 (1992), 308.
##plugins.generic.googleScholarLinks.settings.viewInGS##
H. Steinhaus, Sur les distances des points des ensembles de mesure positive, Fund. Math. 1 (1920), 99-104.
##plugins.generic.googleScholarLinks.settings.viewInGS##
