Iterative equations in p-normes spaces

• Autorzy: Żołdak, M.
• Języki publikacji: EN

Abstrakty

EN

Let X be a real p-normed, complete space and V be a nonempty closed subset of X. We consider the functional equation.

Słowa kluczowe

PL

metoda punktu stałego; równania funkcyjne; przestrzeń Banacha

EN

fixed point method; iterative functional equation; Banach space

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 3
• Strony: 571-578
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Żołdak, M.

• Department of Mathematics University of Rzeszów, ul. Rejtana 16A, 35-310 Rzeszów, Poland,

Bibliografia

• [1] M. Kuczma, B. Choczewski, R. Ger, Iterative Functional Equations. [Encyclopedia of Mathematics and Its Application, Vol. 32] Cambridge University Press, Cambridge–New York–Port Chester-Melbourne–Sydney, 1990.
• [2] M. Kulczycki, J. Tabor, Iterative functional equations in the class of Lipschitz functions, Aequationes Math. 64 (2002), 24–33.
• [3] F. C. Sanchez, The singular case in the stability of additive functions, J. Math. Anal. Appl. 268 (2002), 498–516.
• [4] J. Tabor, M. Żołdak, Iterative equations in Banach spaces, J. Math. Anal. Appl. 299 (2004), 651–662.
• [5] W. Zhang, Discussion on the iterated equation ?n/i=1 ?ifi(x) = F(x), Chinese Sci. Bull. 32 (1987), 1444–1451.
• [6] W. Zhang, Stability of the solution of the iterated equation ?n/i=1 ?ifi = F(x), Acta Math. Sci. 8 (1988), 421–242.
• [7] W. Zhang, Discussion on the differentiable solutions of the iterated equation ?n/i=1 ?ifi(x) = F(x), Nonlinear Anal. 15/4 (1990), 387–398.