<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Department of Mathematics, South Tehran Branch

Department of Mathematics, Garmsar Branch

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

{"article-title":"Approximate multi-Jensen-cubic mappings and a fixed point theorem"}

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...

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

Publié en ligne: 31 déc. 2020

Pages: 141 - 154

Reçu: 04 oct. 2019

Accepté: 28 févr. 2020

DOI: https://doi.org/10.2478/aupcsm-2020-0011

Mots clés
Banach space, multi-Jensen-cubic functional equation, Hyers-Ulam stability

© 2020 Elahe Ramzanpour et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

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

Publié en ligne: 31 déc. 2020

Pages: 141 - 154

Reçu: 04 oct. 2019

Accepté: 28 févr. 2020

DOI: https://doi.org/10.2478/aupcsm-2020-0011

Mots clésBanach space, multi-Jensen-cubic functional equation, Hyers-Ulam stability

© 2020 Elahe Ramzanpour et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Mots clés
Banach space, multi-Jensen-cubic functional equation, Hyers-Ulam stability