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

[1] Fuzzy Stability Results of Finite Variable Additive Functional Equation: Direct and Fixed Point Methods [J].

Alanazi, Abdulaziz M. ;

Muhiuddin, G. ;

Tamilvanan, K. ;

Alenze, Ebtehaj N. ;

Ebaid, Abdelhalim ;

Loganathan, K. .

MATHEMATICS, 2020, 8 (07)

[2] Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces [J].

Alessa, Nazek ;

Tamilvanan, K. ;

Loganathan, K. ;

Karthik, T. S. ;

Rassias, John Michael .

JOURNAL OF FUNCTION SPACES, 2021, 2021

[3]

[Anonymous], 1992, DISCUSS MATH

[4]

[Anonymous], 1960, COLLECTION MATH PROB

[5]

[Anonymous], 1994, DISCUSSIONES MATH

[6]

[Anonymous], 2012, ABSTRACT APPL ANAL, DOI [10.1155/2012/716936, DOI 10.1155/2012/716936]

[7]

Aoki T., 1950, J MATH SOC JPN, V2, P64, DOI [DOI 10.2969/JMSJ/00210064, 10.2969/jmsj/00210064]

[8] CLASSES OF TRANSFORMATIONS AND BORDERING TRANSFORMATIONS [J].

BOURGIN, DG .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 57 (04) :223-237

[9] ON THE STABILITY OF THE QUADRATIC MAPPING IN NORMED SPACES [J].

CZERWIK, S .

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1992, 62 :59-64

[10]

Gajda Z., 1991, Int. J. Math. Math. Sci, V14, P431, DOI [10.1155/S016117129100056X, DOI 10.1155/S016117129100056X]

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