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Intuitionistic Fuzzy Stability of an Finite Dimensional Cubic Functional Equation
In the current work, the intuitionistic fuzzy version of Hypers-Ulam stability for a k-dimensional cubic functional equation...
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On the best constants associated with n-distances
We pursue the investigation of the concept of n -distance, an n -variable version of the classical concept of distance recently introduced and...
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The Asymptotic Behaviour of Fractional Lattice Systems with Variable Delay
The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a...
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On the special form of integral convolution type inequality due to Walter and Weckesser
Walter and Weckesser’s result (Aequationes Math 46:212–219,
1993 ), extending the Bushell–Okrasiński convolution type inequality (Bushell and... -
Functional Equations Characterizing Derivations: A Synthesis
Many articles have been written about functional equations characterizing derivations on integral domains (or sometimes commutative rings) of...
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Derivations and Leibniz differences on rings
Let R be a commutative ring and n a positive integer. We show that the composition of n derivations of order 1 results in a derivation of order n on R ...
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Bisymmetric and quasitrivial operations: characterizations and enumerations
We investigate the class of bisymmetric and quasitrivial binary operations on a given set and provide various characterizations of this class as well...
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New characterizations of the Takagi function via functional equations
We provide two new characterizations of the Takagi function as the unique bounded solution of some systems of two functional equations. The results...
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On lattice-valued maps stemming from the notion of optimal average
The main purpose of this paper is to study certain lattice-valued maps through associated functional equations and inequalities. We deal with...
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On the shape of solution sets of systems of (functional) equations
Solution sets of systems of linear equations over fields are characterized as being affine subspaces. But what can we say about the “shape” of the...
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A classification of polynomial functions satisfying the Jacobi identity over integral domains
The Jacobi identity is one of the properties that are used to define the concept of Lie algebra and in this context is closely related to...
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Polynomially linked additive functions
This article has two aims. First, we provide the solution to a problem posed by the author in a previous paper. Second, we consider a problem posed...
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Inner Product Spaces and Quadratic Functional Equations
In this paper, we prove that the norm defined over a real vector space V is induced by an inner product if and only if for a fixed integer n ≥ 2...