Results 51 to 60 of about 4,528,914 (107)
Pexider equation on a restricted domain
, 2010 We prove an extension theorem for Pexider equation on a restricted domain in a uniquely 2-divisible Abelian topological group which has a base of open neighbourhoods of 0 satisfying some 2-divisibility conditions.
Barbara Sobek
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Connections between the completion of normed spaces over non-archimedean fields and the stability of the Cauchy equation [PDF]
, 2020 In [12] a close connection between stability results for the Cauchy equation and the completion of a normed space over the rationals endowed with the usual absolute value has been investigated. Here similar results are presented when the valuation of the
Schwaiger, Jens
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On a Pexider type equation on Δ+ [PDF]
, 2001 The Pexider equation in question is defined with the use of t-norm and is considered in the space Δ+ of all non decreasing functions F from R+ into I that satisfy F(0) = 0, F(∞) = 1 and are left-continuous on (0,∞).
Wallace, Kelly, Riedel, Thomas
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Hyers-Ulam-Rassias stability of a generalized Pexider functional equation
Banach Journal of Mathematical Analysis, 2007 In this interesting paper, the authors investigate the generalized Hyers-Ulam stability for a functional equation of Pexider type on groups.
Charifi, Ahmed +2 more
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Pexider type equation on a region
, 2017 We consider the problem of existence and uniqueness of extensions for the solutions of the Pexider type equation ...
Barbara Sobek, Małgorzata Chudziak
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Mechanism Integrated Information. [PDF]
Entropy (Basel), 2021 Barbosa LS +3 more
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Foundations of utilitarianism under risk and variable population. [PDF]
Soc Choice Welfare, 2023 Spears D, Zuber S.
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On Mikusiński-Pexider functional equation [PDF]
Colloquium Mathematicum, 1973 Baron, Karol, Ger, Roman
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SUPERSTABILITY OF A GENERALIZED EXPONENTIAL FUNCTIONAL EQUATION OF PEXIDER TYPE [PDF]
Communications of the Korean Mathematical Society, 2008 We obtain the superstability of a generalized exponential functional equation f(x + y) = E(x, y)g(x)f(y) and investigate the stability in the sense of R. Ger [4] of this equation in the following setting: ∣∣∣∣ f(x + y) E(x, y)g(x)f(y) − 1 ∣∣∣∣ ≤ φ(x, y), where E(x, y) is a pseudo exponential function.
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Stability of generalized Cauchy equations
, 2016 We investigate the stability of the functional equation $\textit{f(xy) = g(x)h(y) + k(y)}$ on amenable semigroups. This equation is a common generalization of two Pexider equations stemming from Cauchy’s additive and multiplicative functional equations ...
Volkmann, Peter +2 more
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