A General Fixed Point Method for the Stability of Cauchy Functional Equation

Autor:	Liviu Cădariu, Viorel Radu
Rok vydání:	2011
Předmět:	Cauchy problem Cauchy's convergence test Mathematical analysis Functional equation Cauchy distribution Cauchy principal value Applied mathematics Cauchy boundary condition Fixed point Cauchy's integral theorem Mathematics
Zdroj:	Functional Equations in Mathematical Analysis ISBN: 9781461400547
DOI:	10.1007/978-1-4614-0055-4_3
Popis:	In this note, we extend the ideas in [12] to obtain some general stability results for additive Cauchy functional equations in β-normed spaces. It is worth noting that two fixed point alternatives together with the error estimations for generalized contractions of type Bianchini–Grandolfi and Matkowski are pointed out, and then used as fundamental tools. Some examples which emphasize the very general hypotheses, are also given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8e8cdac079b9df258eeef2fb9fbcdb57 https://doi.org/10.1007/978-1-4614-0055-4_3 Zobrazit plný text záznamu