Stability of a generalized n-variable mixed-type functional equation in fuzzy modular spaces

Murali, R.; Pachaiyappan, Divyakumari; Park, Choonkil; Lee, Jung Rye

doi:10.1186/s13660-021-02594-y

Cited by 3 publications

(2 citation statements)

References 34 publications

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“…From that point forward, numerous stability problems for different functional equations have been explored in [6][7][8][9][10][11][12][13][14][15]. Later, the stability issues for different types of functional equations were investigated in [16,17].…”

Section: Introductionmentioning

confidence: 99%

Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy φ-2-Normed Spaces and Non-Archimedean Banach Spaces

Tamilvanan¹,

Alkhaldi

Agarwal

et al. 2023

Mathematics

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In this work, we introduce a new type of generalized mixed-type quadratic-additive functional equation and obtain its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy φ-2-normed space and non-Archimedean Banach space using the direct and fixed point approaches by taking into our account two cases: even mapping and odd mapping.

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Section: Introductionmentioning

confidence: 99%

Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy φ-2-Normed Spaces and Non-Archimedean Banach Spaces

Tamilvanan¹,

Alkhaldi

Agarwal

et al. 2023

Mathematics

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“…[11]). Let an even mapping φ :V → W satisfy functional equation m−1 i=1, j=i+1(φ(ks i + s j ) + φ(ks m + s 1 ))…”

mentioning

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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Tripled Fixed Points and Existence Study to a Tripled Impulsive Fractional Differential System via Measures of Noncompactness

et al. 2021

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In this paper, a tripled fractional differential system is introduced as three associated impulsive equations. The existence investigation of the solution is based on contraction principle and measures of noncompactness in terms of tripled fixed point and modulus of continuity. Our results are valid for both Kuratowski and Hausdorff measures of noncompactness. As an application, we apply the obtained results to a control problem.

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Stability of a generalized n-variable mixed-type functional equation in fuzzy modular spaces

Abstract: This research paper deals with general solution and the Hyers–Ulam stability of a new generalized n-variable mixed type of additive and quadratic functional equations in fuzzy modular spaces by using the fixed point method.

Cited by 3 publications

References 34 publications

Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy φ-2-Normed Spaces and Non-Archimedean Banach Spaces

Fixed Point Approach: Ulam Stability Results of Functional Equation in Non-Archimedean Fuzzy φ-2-Normed Spaces and Non-Archimedean Banach Spaces

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

Tripled Fixed Points and Existence Study to a Tripled Impulsive Fractional Differential System via Measures of Noncompactness

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