Minimum functional equation and some Pexider-type functional equation on any group

DOI10.3934/math.2021656OpenAlexW3189109297MaRDI QIDQ2671142

Muhammad Sarfraz, Yongjin Li

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021656

zbMATH Keywords

Pexider functional equationstrictly positive solutionKannappan conditionminimum functional equation

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Metric spaces, metrizability (54E35)

Related Items (1)

Generalized Vincze's functional equations on any group in connection with the maximum functional equation

Cites Work

• Unnamed Item
• Characterization of the absolute value of an additive function by means of a functional equation
• General solution of a simple Levi-Civitá functional equation on non-abelian groups
• The stability of functional equation \(\min\{f(x + y), f(x - y)\} = |f(x) - f(y)|\)
• On the functional equation \(f(x)+f(y)=\max\{f(xy),f(xy^{-1})\}\) on groups
• A Characterization of Free Abelian Groups
• ON SOME PEXIDER-TYPE FUNCTIONAL EQUATIONS CONNECTED WITH THE ABSOLUTE VALUE OF ADDITIVE FUNCTIONS. PART II
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups

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