Iterative Functional Equations

Kuczma, Marek; Choczewski, Bogdan; Ger, Roman

doi:10.1017/cbo9781139086639

Cited by 495 publications

(347 citation statements)

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“…This result is stated for J = R in [6] and we give here a shorter proof. It is a special case of Theorem 4.1.1 in [4] for which we give a direct proof. Proof.…”

Section: The In Homogeneous Functional Equation (2) a First Metmentioning

confidence: 84%

On A Simple Linear Iterative Functional Equation

Brillouët-Belluot¹,

Gapaillard²

1998

Demonstratio Mathematica

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“…This result is stated for J = R in [6] and we give here a shorter proof. It is a special case of Theorem 4.1.1 in [4] for which we give a direct proof. Proof.…”

Section: The In Homogeneous Functional Equation (2) a First Metmentioning

confidence: 84%

On A Simple Linear Iterative Functional Equation

Brillouët-Belluot¹,

Gapaillard²

1998

Demonstratio Mathematica

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“…The above equation is called linear functional equation. A lot of results concerning monotonic solutions, regular solutions and convex solutions of 3.2 were given by Kuczma et al 29 .…”

Section: The Generalized Ulam-hyers Stability Of a Linear Functional mentioning

confidence: 99%

Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces

Cădariu

Radu

2009

Fixed Point Theory Appl

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We prove a general Ulam-Hyers stability theorem for a nonlinear equation in probabilistic metric spaces, which is then used to obtain stability properties for different kinds of functional equations linear functional equations, generalized equation of the square root, spiral generalized gamma equations in random normed spaces. As direct and natural consequences of our results, we obtain general stability properties for the corresponding functional equations in deterministic metric and normed spaces.

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“…for instance [1] and [2]) that then there exists a unique function ϕ : I → R such that ϕ I ξ = ϕ ξ and…”

Section: Introductionmentioning

confidence: 99%

“…Extensions of solutions of functional equations, both in single and in several variables, play important role (cf. for instance [1][2][3]). …”

mentioning

confidence: 99%

On extension of solutions of a simultaneous system of iterative functional equations

Matkowski¹

2009

OpMath

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Iterative Functional Equations

Cited by 495 publications

References 0 publications

On A Simple Linear Iterative Functional Equation

On A Simple Linear Iterative Functional Equation

Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces

On extension of solutions of a simultaneous system of iterative functional equations

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