Approximation of the multi-m-Jensen-quadratic mappings and a fixed point approach-Reference-Cited by-同舟云学术

Approximation of the multi-m-Jensen-quadratic mappings and a fixed point approach

Published:2021-01-29 Issue:1 Volume:71 Page:117-128
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Bodaghi Abasalt¹

Affiliation:

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

Abstract

Abstract In this article, by using a new form of multi-quadratic mapping, we define multi-m-Jensen-quadratic mappings and then unify the system of functional equations defining a multi-m-Jensen-quadratic mapping to a single equation. Using a fixed point theorem, we study the generalized Hyers-Ulam stability of multi-quadratic and multi-m-Jensen-quadratic functional equations. As a consequence, we show that every multi-m-Jensen-quadratic functional equation (under some conditions) can be hyperstable.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0456/pdf

Reference37 articles.

1. Aoki, T.: On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan. 2 (1950), 64–66.

2. Bae, J.-H.—Park, W.-G.: On the solution of a bi-Jensen functional equation and its stability, Bull. Korean Math. Soc. 43 (2006), 499–507.

3. Bahyrycz, A.—Olko, J.: On stability and hyperstability of an equation characterizing multi-Cauchy-Jensen mappings, Results Math. 73 (2018), Art. ID 55.

4. Bahyrycz, A.—Ciepliński, K.: On an equation characterizing multi-Jensen-quadratic mappings and its Hyers-Ulam stability via a fixed point method, J. Fixed Point Theory Appl. 18 (2016), 737–751.

5. Bahyrycz, A.—Ciepliński, K.—Olko, J.: On an equation characterizing multi Cauchy-Jensen mappings and its Hyers-Ulam stability, Acta Math. Sci. Ser. B Engl. Ed. 35 (2015), 1349–1358.

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