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

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

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).

Bibliographic Details
Main Authors: Zhihua Wang, Xiaopei Li, Themistocles M. Rassias
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/536520
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spelling doaj-a4ffabab3d9d46c0aa6973bc1ba8f0662020-11-24T22:26:40ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/536520536520Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach SpacesZhihua Wang0Xiaopei Li1Themistocles M. Rassias2School of Science, Hubei University of Technology, Wuhan, Hubei 430068, ChinaDepartment of Mathematics, Zhanjiang Normal University, Zhanjiang, Guangdong 524048, ChinaDepartment of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, GreeceWe 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).http://dx.doi.org/10.1155/2011/536520
collection DOAJ
language English
format Article
sources DOAJ
author Zhihua Wang
Xiaopei Li
Themistocles M. Rassias
spellingShingle Zhihua Wang
Xiaopei Li
Themistocles M. Rassias
Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces
Abstract and Applied Analysis
author_facet Zhihua Wang
Xiaopei Li
Themistocles M. Rassias
author_sort Zhihua Wang
title Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces
title_short Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces
title_full Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces
title_fullStr Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces
title_full_unstemmed Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces
title_sort stability of an additive-cubic-quartic functional equation in multi-banach spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description 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).
url http://dx.doi.org/10.1155/2011/536520
work_keys_str_mv AT zhihuawang stabilityofanadditivecubicquarticfunctionalequationinmultibanachspaces
AT xiaopeili stabilityofanadditivecubicquarticfunctionalequationinmultibanachspaces
AT themistoclesmrassias stabilityofanadditivecubicquarticfunctionalequationinmultibanachspaces
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