Hyers-Ulam Stability of Functional Equation Deriving from Quadratic Mapping in Non-Archimedean (n, β)-Normed Spaces

被引：2

作者：

Alessa, Nazek ^{[1
]}

Tamilvanan, K. ^{[2
]}

Loganathan, K. ^{[3
]}

Selvi, K. Kalai ^{[4
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Dept Math Sci, Riyadh, Saudi Arabia

[2] Govt Arts Coll Men, Dept Math, Krishnagiri 635001, Tamil Nadu, India

[3] Live4Research, Res & Dev Wing, Tiruppur 638106, Tamil Nadu, India

[4] SNS Coll Technol, Coimbatore, Tamil Nadu, India

来源：

JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷

关键词：

APPROXIMATELY LINEAR MAPPINGS; RASSIAS STABILITY;

D O I：

10.1155/2021/9953214

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we have to introduce a generalized quadratic functional equation and derive its solution. The main objective of this work is to investigate the Hyers-Ulam stability of quadratic functional equation in non-Archimedean (n, beta)-normed spaces.

引用

页数：10

共 40 条

[21]

Kim S. S., 1996, Demonst. Math., V29, P739

[22] Stability of additive mappings in non-Archimedean fuzzy normed spaces [J].

Mirmostafaee, Alireza Kamel ;

Moslehian, Mohammad Sal .

FUZZY SETS AND SYSTEMS, 2009, 160 (11) :1643-1652

[23] A Mazur-Ulam theorem in non-Archimedean normed spaces [J].

Moslehian, Mohammad Sal ;

Sadeghi, Ghadir .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) :3405-3408

[24] STABILITY OF FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN SPACES [J].

Moslehian, Mohammad Sal ;

Rassias, Themistocles M. .

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2007, 1 (02) :325-334

[25] On some non-Archimedean spaces of Alexandroff and Urysohn [J].

Nyikos, PJ .

TOPOLOGY AND ITS APPLICATIONS, 1999, 91 (01) :1-23

[26] Fuzzy normed spaces and stability of a generalized quadratic functional equation [J].

Park, Choonkil ;

Tamilvanan, K. ;

Noori, Batool ;

Moghimi, M. B. ;

Najati, Abbas .

AIMS MATHEMATICS, 2020, 5 (06) :7161-7174

[27] On a functional equation that has the quadratic-multiplicative property [J].

Park, Choonkil ;

Tamilvanan, Kandhasamy ;

Balasubramanian, Ganapathy ;

Noori, Batool ;

Najati, Abbas .

OPEN MATHEMATICS, 2020, 18 :837-845

[28]

Park C, 2012, J COMPUT ANAL APPL, V14, P526

[29] ON APPROXIMATION OF APPROXIMATELY LINEAR MAPPINGS BY LINEAR MAPPINGS [J].

RASSIAS, JM .

JOURNAL OF FUNCTIONAL ANALYSIS, 1982, 46 (01) :126-130

[30]

RASSIAS JM, 1984, B SCI MATH, V108, P445

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