Stability of functional equations of lass="a-plus-plus">n-Apollonius type in fuzzy ternary Banach algebras

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• 作者：Zhihua Wang ; Prasanna K. Sahoo
• 关键词：Fixed point theorem ; fuzzy ternary Banach algebra ; functional equation ; generalized Hyers–Ulam stability
• 刊名：Journal of Fixed Point Theory and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：18
• 期：4
• 页码：721-735
• 全文大小：585 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Analysis
  Mathematical Methods in Physics
  
• 出版者：Birkh盲user Basel
• ISSN：1661-7746
• 卷排序：18

文摘

Using the fixed point method, we investigate the generalized Hyers–Ulam stability of the ternary homomorphisms and ternary derivations between fuzzy ternary Banach algebras for the additive functional equation of n-Apollonius type, namely$${\sum_{i=1}^{n} f(z-x_{i}) = -\frac{1}{n} \sum_{1 \leq i < j \leq n} f(x_{i}+x_{j}) + n f (z-\frac{1}{n^{2}} \sum_{i=1}^{n}x_{i}),}$$where \({n \geq 2}\) is a fixed positive integer.KeywordsFixed point theoremfuzzy ternary Banach algebrafunctional equationgeneralized Hyers–Ulam stabilityMathematics Subject Classification17A4239B5239B8247H10References1.Aoki T.: On the stability of the linear transformation in Banach spaces. J. Math. Soc. Japan 2, 64–66 (1950)MathSciNetCrossRefMATHGoogle Scholar2.G. Asgari, Y. J. Cho, Y. W. Lee and M. E. Gordji, Fixed points and stability of functional equations in fuzzy ternary Banach algebras. J. Inequal. Appl. 2013 (2013), Article ID 166, 10 pages.3.Bag T., Samanta S. 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Chapter VI, Science Editions, Wiley, New York, 1964.Copyright information© Springer International Publishing 2016Authors and AffiliationsZhihua Wang1Email authorPrasanna K. Sahoo21.School of ScienceHubei University of TechnologyWuhanChina2.Department of MathematicsUniversity of LouisvilleLouisvilleUSA About this article CrossMark Print ISSN 1661-7738 Online ISSN 1661-7746 Publisher Name Springer International Publishing About this journal Reprints and Permissions Article actions function trackAddToCart() { var buyBoxPixel = new webtrekkV3({ trackDomain: "springergmbh01.webtrekk.net", trackId: "196033507532344", domain: "link.springer.com", contentId: "springer_com.buybox", product: "10.1007/s11784-016-0292-1_Stability of functional equations ", productStatus: "add", productCategory : { 1 : "ppv" }, customEcommerceParameter : { 9 : "link.springer.com" } }); buyBoxPixel.sendinfo(); } function trackSubscription() { var subscription = new webtrekkV3({ trackDomain: "springergmbh01.webtrekk.net", trackId: "196033507532344", domain: "link.springer.com", contentId: "springer_com.buybox" }); subscription.sendinfo({linkId: "inst. subscription info"}); } window.addEventListener("load", function(event) { var viewPage = new webtrekkV3({ trackDomain: "springergmbh01.webtrekk.net", trackId: "196033507532344", domain: "link.springer.com", contentId: "SL-article", product: "10.1007/s11784-016-0292-1_Stability of functional equations ", productStatus: "view", productCategory : { 1 : "ppv" }, customEcommerceParameter : { 9 : "link.springer.com" } }); viewPage.sendinfo(); }); Log in to check your access to this article Buy (PDF)EUR 34,95 Unlimited access to full article Instant download (PDF) Price includes local sales tax if applicable Find out about institutional subscriptions Export citation .RIS Papers Reference Manager RefWorks Zotero .ENW EndNote .BIB BibTeX JabRef Mendeley Share article Email Facebook Twitter LinkedIn Cookies We use cookies to improve your experience with our site. 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