Approximation and analysis regarding the structure of a multiple variable mapping-Reference-Cited by-同舟云学术

Approximation and analysis regarding the structure of a multiple variable mapping

Published:2024-04-19 Issue: Volume:42 Page:1-13
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:
Short-container-title:B Soc Paran Mat

Author:

Bodaghi Abasalt^ORCID,Mosleh Maryam^ORCID,Dutta Hemen^ORCID

Abstract

The article introduces a several variables mapping as the multimixed quadratic-cubic mapping in order to characterize such mappings. It reduces a system of equations defining the multimixed quadratic-cubic mappings to obtain a single functional equation. It is shown that under some mild conditions, every multimixed quadratic-cubic mapping can be multi-quadratic, multi-cubic and multiquadratic-cubic. Further, the generalized Hyers-Ulam stability and hyperstabilty for multimixed quadratic-cubic functional equations in quasi-$\beta$ normed spaces have been investigated.

Publisher

Sociedade Paranaense de Matemática

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