Approximate multi-Jensen-cubic mappings and a fixed point theorem

Elahe Ramzanpour; Abasalt Bodaghi

doi:10.2478/aupcsm-2020-0011

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Approximate multi-Jensen-cubic mappings and a fixed point theorem

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 19 (2020): Issue 1 (December 2020)

By: Elahe Ramzanpour and Abasalt Bodaghi

Open Access

|Dec 2020

Abstract

In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation. Applying a fixed point theorem, we establish the generalized Hyers-Ulam stability of multi-Jensen-cubic mappings. As a known outcome, we show that every approximate multi-Jensen-cubic mapping can be multi-Jensen-cubic.

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Articles in this issue

DOI: https://doi.org/10.2478/aupcsm-2020-0011 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 141 - 154

Submitted on: Oct 4, 2019

Accepted on: Feb 28, 2020

Published on: Dec 31, 2020

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Banach space,

multi-Jensen-cubic functional equation,

Hyers-Ulam stability

Related subjects:

Mathematics,

General mathematics

© 2020 Elahe Ramzanpour, Abasalt Bodaghi, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 19 (2020): Issue 1 (December 2020)