Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces

Tamilvanan, K.; Lee, Jung Rye; Choonkil, Park

doi:10.3934/math.2020383

Cited by 11 publications

(6 citation statements)

References 22 publications

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“…This fact rekindled interest of several mathematicians worldwide in the study of several important functional equations of several variables. (see [2,3,12,15]). S. Murthy et al, [6] introduced the following quartic functional equation…”

Section: Introductionmentioning

confidence: 99%

Ulam stability for finite variable quadratic functional equation in Banach algebra

2020

Ann. Commun. Math.

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Here, we define a cube sum labeling and cube sum graph. Let G be a (p, q) graph. G is said to be a cube sum graph if there exist a bijection f : V (G) → {0, 1, . . . , p − 1} such that the induced function f ∗ : E(G) → N given by are all distinct. In this paper, we developed the concept of cube sum labeling of some family of graphs like paths, cycle, stars, wheel graph, fan graphs are discussed in this paper.

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Section: Introductionmentioning

confidence: 99%

Ulam stability for finite variable quadratic functional equation in Banach algebra

2020

Ann. Commun. Math.

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“…Recently, the stability of many functional equations in various spaces such as Banach spaces, fuzzy normed spaces and random normed spaces have been broadly inspected by a lot of mathematicians ( [1,6,8,9,16,20]).…”

Section: Introductionmentioning

confidence: 99%

Stability Results of the Additive-Quadratic Functional Equations in Random Normed Spaces by Using Direct and Fixed-Point Method

Rani,

Devi,

Antil

2023

Comm. Math. Appl.

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“…e stability result of additive functional equations was examined by means of Najati and Moghimi [8], Shin et al [9], and Gordji [10]. Stability problems of various functional equations have been investigated by many researchers, and there are various interesting results about this problem (see [11][12][13][14]).…”

Section: Introductionmentioning

confidence: 99%

Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods

Uthirasamy¹,

Tamilvanan

Kabeto

2022

Journal of Function Spaces

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This paper introduces a new dimension of an additive functional equation and obtains its general solution. The main goal of this study is to examine the Ulam stability of this equation in IFN-spaces (intuitionistic fuzzy normed spaces) with the help of direct and fixed point approaches and 2-Banach spaces. Also, we use an appropriate counterexample to demonstrate that the stability of this equation fails in a particular case.

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Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces

Cited by 11 publications

References 22 publications

Ulam stability for finite variable quadratic functional equation in Banach algebra

Ulam stability for finite variable quadratic functional equation in Banach algebra

Stability Results of the Additive-Quadratic Functional Equations in Random Normed Spaces by Using Direct and Fixed-Point Method

Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods

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