Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Anna Bahyrycz"'
Autor:
Anna Bahyrycz, Justyna Sikorska
Publikováno v:
Symmetry, Vol 15, Iss 1, p 19 (2022)
Let X be a linear space over K∈{R,C}, Y be a real or complex Banach space and f:Xn→Y. With some fixed aji,Ci1…in∈K (j∈{1,…,n}, i,ik∈{1,2}, k∈{1,…,n}), we study, using the direct and the fixed point methods, the stability and the gen
Externí odkaz:
https://doaj.org/article/e74bdf290bf748f8a890fd296595539d
Publikováno v:
Symmetry, Vol 13, Iss 11, p 2200 (2021)
The theory of Ulam stability was initiated by a problem raised in 1940 by S. Ulam and concerning approximate solutions to the equation of homomorphism in groups. It is somehow connected to various other areas of investigation such as, e.g., optimizat
Externí odkaz:
https://doaj.org/article/3680c80f6fec4e16ad02d7e80720cc10
Autor:
Anna Bahyrycz, Jolanta Olko
Publikováno v:
Journal of Function Spaces, Vol 2017 (2017)
The paper concerns functions which approximately satisfy, not necessarily on the whole linear space, a generalization of linear functional equation. A Hyers-Ulam stability result is proved and next applied to give conditions implying the hyperstabili
Externí odkaz:
https://doaj.org/article/229f474494d14c4ca5400da9ba1a3ba1
Autor:
Anna Bahyrycz
Publikováno v:
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, Vol 9, Iss 1, Pp 133-142 (2010)
Let $T$ be a nonempty set. Inspired by a problem posed by Z. Moszner in [10] we investigate for which additional assumptions put on multifunctions $Z(t):Tightarrow 2^{R(m)},$ which fulfil condition $$ igcup_{t in T} Z(t)=R(m), $$ and the system o
Externí odkaz:
https://doaj.org/article/6c72dd2ffe5c4638a772683050c1685c
Autor:
Anna Bahyrycz
Publikováno v:
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, Vol 6, Iss 1, Pp 19-33 (2007)
In the present paper we give a description and properties of the system of cones over $mathbb{Q}$ which are one of parameters determining the solutions of the conditional equation of exponential function.
Externí odkaz:
https://doaj.org/article/eb0a1733b3aa485db2e85efc1a169093
Publikováno v:
Journal of Function Spaces and Applications, Vol 2013 (2013)
We prove some results for mappings taking values in ultrametric spaces and satisfying approximately a generalization of the equation of p-Wright affine functions. They are motivated by the notion of stability for functional equations.
Externí odkaz:
https://doaj.org/article/ef47565aaa0c4519a593e6586c719961
Publikováno v:
Journal of Function Spaces and Applications, Vol 2013 (2013)
We prove some stability and hyperstability results for the well-known Fréchet equation stemming from one of the characterizations of the inner product spaces. As the main tool, we use a fixed point theorem for the function spaces. We finish the pape
Externí odkaz:
https://doaj.org/article/6c46fe35d98745b587691d30b2f9c6a9
Autor:
Justyna Sikorska, Anna Bahyrycz
Publikováno v:
Aequationes mathematicae. 95:1257-1279
Let X, Y be linear spaces over a field $${\mathbb {K}}$$ K . Assume that $$f :X^2\rightarrow Y$$ f : X 2 → Y satisfies the general linear equation with respect to the first and with respect to the second variables, that is, for all $$x,x_i,y,y_i \i
Autor:
Justyna Sikorska, Anna Bahyrycz
Publikováno v:
Results in Mathematics. 77
Publikováno v:
Symmetry, Vol 13, Iss 2200, p 2200 (2021)
Symmetry
Volume 13
Issue 11
Symmetry
Volume 13
Issue 11
The theory of Ulam stability was initiated by a problem raised in 1940 by S. Ulam and concerning approximate solutions to the equation of homomorphism in groups. It is somehow connected to various other areas of investigation such as, e.g., optimizat