Additive ρ --functional inequalities

Park, Choonkil

doi:10.22436/jnsa.007.05.02

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Cited by 4 publications

(2 citation statements)

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“…In addition to supremum and infimum operations, in 2015, Agbeko [5] developed nonlinear stability for different combinations of these two operations, and proved it using the core of the direct method presented by Forti [6]. On the other hand, in 2017, Park and Jang [7] introduced ρ-functional equations, and proved the stability of the equations in various spaces.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Stability of ρ-Functional Equations in Latticetic Random Banach Lattice Spaces

Vaezpour

Saadati

2018

Mathematics

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Section: Introductionmentioning

confidence: 99%

Nonlinear Stability of ρ-Functional Equations in Latticetic Random Banach Lattice Spaces

Vaezpour

Saadati

2018

Mathematics

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“…It also has been generalized to the function case by P. Gȃvruta [2]. For more details on this topic, we also refer to [1,4,6] and references therein.…”

Section: Introductionmentioning

confidence: 99%

On the Ulam stability of the Cauchy-Jensen equation and the additive-quadratic equation

Bae¹,

Park²

2015

J. Nonlinear Sci. Appl.

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Ulam-Hyers Stability Results of $λ$ -Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space

An¹,

Tamilvanan

Udhayakumar

et al. 2022

Journal of Function Spaces

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In this paper, we introduce the λ -quadratic functional equation with three variables and obtain its general solution. The main aim of this work is to examine the Ulam-Hyers stability of this functional equation in non-Archimedean Banach space by using direct and fixed point techniques and examine the stability results in non-Archimedean random normed space.

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Additive ρ --functional inequalities

Abstract: In this paper, we solve the additive ρ-functional inequalities

Cited by 4 publications

References 15 publications

Nonlinear Stability of ρ-Functional Equations in Latticetic Random Banach Lattice Spaces

Nonlinear Stability of ρ-Functional Equations in Latticetic Random Banach Lattice Spaces

On the Ulam stability of the Cauchy-Jensen equation and the additive-quadratic equation

Ulam-Hyers Stability Results of $λ$ -Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space

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Additive ρ --functional inequalities

Abstract: In this paper, we solve the additive ρ-functional inequalities

Cited by 4 publications

References 15 publications

Nonlinear Stability of ρ-Functional Equations in Latticetic Random Banach Lattice Spaces

Nonlinear Stability of ρ-Functional Equations in Latticetic Random Banach Lattice Spaces

On the Ulam stability of the Cauchy-Jensen equation and the additive-quadratic equation

Ulam-Hyers Stability Results of λ -Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space

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Product

Resources

About

Ulam-Hyers Stability Results of $λ$ -Quadratic Functional Equation with Three Variables in Non-Archimedean Banach Space and Non-Archimedean Random Normed Space