A general fixed point method for the stability of the monomial functional equation

Autor:	Liviu Cădariu, Viorel Radu
Rok vydání:	2012
Předmět:	Monomial Fixed-point iteration General Mathematics Functional equation Applied mathematics Stability (probability) Mathematics
Zdroj:	Scopus-Elsevier
ISSN:	1843-4401 1584-2851
DOI:	10.37193/cjm.2012.01.17
Popis:	In this paper, we extend the ideas in [Cadariu, L. and Radu, V., ˘ A general fixed point method for the stability of Jensen functional equation, Bull. S¸ t. Univ. Politehnica Timis¸oara, Ser. Mat.-Fiz. 51(65) (2006), No. 2, 63–72] to obtain some general stability results for monomial functional equations in β−normed spaces. The fixed point alternative together the error estimations for generalized contractions of type Bianchini-Grandolfi are pointed out, and then used as fundamental tool. Some applications and examples which emphasize the very general hypotheses, are also given.
Databáze:	OpenAIRE
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