General solution and stability of additive-quadratic functional equation in IRN-space
type: Item
instance of: scholarly article
title: General solution and stability of additive-quadratic functional equation in IRN-space
zbMATH Open document ID: 1473.39044
DOI: 10.1155/2021/8019135
author: K. Tamilvanan
author: Nazek A. Al-Essa
author: K. Loganathan
author: G. Balasubramanian
author: Ngawang Namgyel
published in: Journal of Function Spaces
publication date: 2021-09-07T00:00:00Z
review text: Summary: The investigation of the stabilities of various types of equations is an interesting and evolving research area in the field of mathematical analysis. Recently, there are many research papers published on this topic, especially additive, quadratic, cubic, and mixed type functional equations. We propose a new functional equation in this study which is quite different from the functional equations already dealt in the literature. The main feature of the equation dealt in this study is that it has three different solutions, namely, additive, quadratic, and mixed type functions. We also prove that the stability results hold good for this equation in intuitionistic random normed space (briefly, IRN-space).
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 39B82
zbMATH DE Number: 7391746
zbMATH Keywords: intuitionistic random normed space
zbMATH Keywords: mixed type functional equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/8019135
OpenAlex ID: W3189890374
cites work: Q3259049
cites work: On the Stability of the Linear Functional Equation
cites work: On the stability of the linear transformation in Banach spaces
cites work: On the Stability of the Linear Mapping in Banach Spaces
cites work: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
cites work: On stability of additive mappings
cites work: Hyers-Ulam-Rassias stability of functional equations in mathematical analysis
cites work: On the Hyers-Ulam stability of the functional equations that have the quadratic property
cites work: Q5397116
cites work: On the stability of functional equations and a problem of Ulam
cites work: On the Hyers-Ulam stability of linear mappings
cites work: Ulam stability of a functional equation deriving from quadratic and additive mappings in random normed spaces
cites work: Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
cites work: Stability of a mixed functional equation in several variables on Banach modules
cites work: Stability of a mixed additive and cubic functional equation in quasi-Banach spaces
cites work: Ulam stability problem for a mixed type of cubic and additive functional equation
cites work: On the stability problem for a mixed type of quartic and quadratic functional equation
cites work: Stability results of the functional equation deriving from quadratic function in random normed spaces
cites work: A fixed point approach to the stability of an additive-quadratic-cubic-quartic functional equation
cites work: A fixed point approach to the fuzzy stability of an additive-quadratic-cubic functional equation
cites work: Fuzzy stability of a functional equation associated with inner product spaces
cites work: Stability of a cubic functional equation in intuitionistic random normed spaces
cites work: Q3771316
cites work: Generalized Hyers-Ulam-Rassias theorem in Menger probabilistic normed spaces
cites work: Generalized Ulam-Hyers stability of Jensen functional equation in Šerstnev PN spaces
cites work: On the stability of the additive Cauchy functional equation in random normed spaces
cites work: The stability of the quartic functional equation in random normed spaces
cites work: The stability of an additive functional equation in menger probabilistic φ-normed spaces
cites work: A note to paper ``On the stability of cubic mappings and quartic mappings in random normed spaces''
cites work: Intuitionistic fuzzy stability of a general mixed additive-cubic equation
cites work: Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces
cites work: On the stability of a general mixed additive-cubic functional equation in random normed spaces
cites work: The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm
cites work: Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays
cites work: Q4821574
cites work: Generalized contraction mapping principle in intuitionistic menger spaces and application to differential equations
cites work: On the intuitionistic fuzzy topological spaces
cites work: Q3336431
cites work: Q5334655
cites work: On nonlinear stability in various random normed spaces
cites work: Intuitionistic fuzzy sets
cites work: On the relationship between some extensions of fuzzy set theory
description: scientific article; zbMATH DE number 7391746