本文選題：Jensen-三次函數(shù)方程 + 模糊賦范線性空間��； 參考：《青島大學(xué)》2017年碩士論文

【摘要】：本文首先介紹了模糊賦范線性空間的概念和基本性質(zhì),利用直接法證明了上述Jensen-三次函數(shù)方程在模糊賦范線性空間中的HUR穩(wěn)定性。然后利用模糊賦范線性空間的概念和基本性質(zhì),基于不動(dòng)點(diǎn)定理,利用不動(dòng)點(diǎn)方法證明Jensen-三次函數(shù)方程在模糊賦范線性空間中的HUR穩(wěn)定性。論文的第二部分介紹了Felbin類型的模糊賦范線性空間的概念和基本性質(zhì),然后利用直接法和不動(dòng)點(diǎn)法研究Jensen-三次函數(shù)方程在Felbin類型的模糊賦范線性空間中的HUR穩(wěn)定性。
[Abstract]:In this paper, the concept and basic properties of fuzzy normed linear spaces are introduced, and the HUR stability of the above Jensen-cubic function equations in fuzzy normed linear spaces is proved by direct method.Then, by using the concept and basic properties of fuzzy normed linear space and based on the fixed point theorem, the HUR stability of Jensen-cubic function equation in fuzzy normed linear space is proved by using fixed point method.In the second part of the paper, the concept and basic properties of fuzzy normed linear spaces of Felbin type are introduced, and then the HUR stability of Jensen-cubic function equations in fuzzy normed linear spaces of Felbin type is studied by direct method and fixed point method.
【學(xué)位授予單位】：青島大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O177

【參考文獻(xiàn)】

相關(guān)期刊論文 前3條

1 Abbas NAJATI;Choonkil PARK;;On the Stability of a Cubic Functional Equation[J];Acta Mathematica Sinica(English Series);2008年12期

2 Dong Seung KANG;Hahng-Yun CHU;;Stability Problem of Hyers-Ulam-Rassias for Generalized Forms of Cubic Functional Equation[J];Acta Mathematica Sinica(English Series);2008年03期

3 P.K.SAHOO;;A Generalized Cubic Functional Equation[J];Acta Mathematica Sinica(English Series);2005年05期

相關(guān)碩士學(xué)位論文 前1條

1 薛海燕;Jensen-三次函數(shù)方程的Hyers-Ulam穩(wěn)定性[D];青島大學(xué);2014年

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本文編號：1755692