Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces-Reference-Cited by-同舟云学术

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Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces

Published:2011 Issue: Volume:2011 Page:1-11
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Wang Zhihua¹,Li Xiaopei²,Rassias Themistocles M.³

Affiliation:

1. School of Science, Hubei University of Technology, Wuhan, Hubei 430068, China

2. Department of Mathematics, Zhanjiang Normal University, Zhanjiang, Guangdong 524048, China

3. Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece

Abstract

We prove the Hyers-Ulam stability of the additive-cubic-quartic functional equation in multi-Banach spaces by using the fixed point alternative method. The first results on the stability in the multi-Banach spaces were presented in (Dales and Moslehian 2007).

Funder

Guangdong Provincial Natural Science Foundation, China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/536520.pdf

Reference36 articles.

1. On the Stability of the Linear Functional Equation

2. On the Stability of the linear Transformation in Banach Spaces.

3. On the stability of the linear mapping in Banach spaces

4. On the stability of the additive Cauchy functional equation in random normed spaces

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A FIXED POINT APPROACH TO THE STABILITY OF AN ADDITIVE-CUBIC-QUARTIC FUNCTIONAL EQUATION;J KOREAN SOC MATH ED;2019

2. ON THE HYERS-ULAM-RASSIAS STABILITY OF AN ADDITIVE-CUBIC-QUARTIC FUNCTIONAL EQUATION;J KOREAN SOC MATH ED;2019

3. STABILITY OF TRIGINTIC FUNCTIONAL EQUATION IN MULTI-BANACH SPACES: FIXED POINT APPROACH;KOREAN J MATH;2018

4. Stability of Functional Equations in C ∗-Ternary Algebras;Stability of Functional Equations in Banach Algebras;2015

5. Stability of Functional Inequalities in Banach Algebras;Stability of Functional Equations in Banach Algebras;2015

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