Fixed Points and Generalized Stability for ψ-Additive Mappings of Isac-Rassias Type

Autor:	Liviu Cădariu, Viorel Radu
Rok vydání:	2009
Předmět:	Pure mathematics Functional equation Cauchy distribution Fixed point Type (model theory) Stability (probability) Coincidence point Stability theorem Normed vector space Mathematics
Zdroj:	Nonlinear Analysis and Variational Problems ISBN: 9781441901576
DOI:	10.1007/978-1-4419-0158-3_3
Popis:	Some results of G. Isac and Th. M. Rassias on ψ-additive mappings will be slightly extended by proving a stability theorem for functions defined on generalized α-normed spaces and taking values in β-normed spaces. We will show that some well-known theorems concerning the stability of Cauchy’s functional equation can be obtained as consequences of our results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::03d8ce074cd4ed3937db2c8911ed095a https://doi.org/10.1007/978-1-4419-0158-3_3 Zobrazit plný text záznamu