Approximate multi-Jensen-cubic mappings and a fixed point theorem-Reference-Cited by-同舟云学术

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

Published:2020-12-01 Issue:1 Volume:19 Page:141-154
ISSN:2300-133X
Container-title:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
language:en
Short-container-title:

Author:

Ramzanpour Elahe¹,Bodaghi Abasalt²

Affiliation:

1. Department of Mathematics, South Tehran Branch , Islamic Azad University , Tehran , Iran

2. Department of Mathematics, Garmsar Branch , Islamic Azad University , Garmsar , Iran

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/aupcsm-2020-0011

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