Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
type: Item
instance of: scholarly article
title: Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
zbMATH Open document ID: 0843.47036
DOI: 10.1155/S0161171296000324
author: G. Isac
author: Themistocles M. Rassias
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1996-05-06T00:00:00Z
full work available at URL: https://eudml.org/doc/47470
review text: Summary: The Hyers-Ulam stability of mappings is in development and several authors have remarked interesting applications of this theory to various mathematical problems. In this paper, some applications in nonlinear analysis are presented, especially in fixed point theory. These kinds of applications seem not to have ever been remarked before by other authors.
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 874303
zbMATH Keywords: cone
zbMATH Keywords: homomorphism
zbMATH Keywords: eigenvalue
zbMATH Keywords: bifurcation
zbMATH Keywords: Hammerstein equation
zbMATH Keywords: completely continuous operator
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: nonlinear analysis
zbMATH Keywords: fixed point theory
MaRDI profile type: Publication
OpenAlex ID: W2006316635
Recommended article: Ψ-Aditive Mappings and Hyers–Ulam Stability
Recommended article: On the Hyers-Ulam stability of \(\psi\)-additive mappings
Recommended article: On the stability of approximately additive mappings
Recommended article: On stability of additive mappings
Recommended article: On the stability of Cauchy additive mappings
Recommended article: Q4879426
Recommended article: On the Stability of an Additive Mapping
Recommended article: Q4347539
Recommended article: Generalized stability of multi-additive mappings
Recommended article: Fixed Points and Generalized Stability for ψ-Additive Mappings of Isac-Rassias Type
description: scientific article; zbMATH DE number 874303