caa a22 4500 605508240 CHVBK 20210128100635.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00010-014-0317-z doi (NATIONALLICENCE)springer-10.1007/s00010-014-0317-z On stability of the general linear equation [Elektronische Daten] [Anna Bahyrycz, Jolanta Olko] We prove, using the fixed point approach, some stability results for the general linear functional equation. Namely we obtain sufficient conditions for the stability of a wide class of functional equations and control functions. Our results generalize a lot of the well known and recent outcomes concerning stability. In some examples we indicate how our method may be used to check if the particular functional equation is stable and we discuss the optimality of obtained bounding constants. The Author(s), 2014 Hyers-Ulam stability nationallicence linear functional equation nationallicence fixed point theorem nationallicence Bahyrycz Anna Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland aut Olko Jolanta Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland aut Aequationes mathematicae Springer International Publishing 89/6(2015-12-01), 1461-1474 0001-9054 89:6<1461 2015 89 10 https://doi.org/10.1007/s00010-014-0317-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00010-014-0317-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bahyrycz Anna Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland aut NATIONALLICENCE 700 1- Olko Jolanta Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland aut NATIONALLICENCE 773 0- Aequationes mathematicae Springer International Publishing 89/6(2015-12-01), 1461-1474 0001-9054 89:6<1461 2015 89 10