A Fixed Point Approach to the Stability of a Functional Equation

Park, Won-Gil; Bae, Jae-Hyeong

doi:10.5666/kmj.2010.50.4.557

Kyungpook mathematical journal

2010

DOI: 10.5666/kmj.2010.50.4.557

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A Fixed Point Approach to the Stability of a Functional Equation

Won-Gil Park¹,

Jae-Hyeong Bae²

Abstract: By using an idea of Cȃdariu and Radu [4], we prove the generalized Hyers-Ulam stability of the functional equationThe quadratic form f : R × R → R given by f (x, y) = ax 2 + by 2 is a solution of the above functional equation.

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A Fixed Point Approach to the Stability of a Functional Equation

Abstract: By using an idea of Cȃdariu and Radu [4], we prove the generalized Hyers-Ulam stability of the functional equationThe quadratic form f : R × R → R given by f (x, y) = ax 2 + by 2 is a solution of the above functional equation.

Cited by 1 publication

References 11 publications

Hyers-Ulam-Rassias Stability of the $C^$-ternary Bi-homomorphisms and $C^$-ternary Bi-derivations in $C^*$-ternary Algebras

Hyers-Ulam-Rassias Stability of the $C^$-ternary Bi-homomorphisms and $C^$-ternary Bi-derivations in $C^*$-ternary Algebras

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A Fixed Point Approach to the Stability of a Functional Equation

Abstract: By using an idea of Cȃdariu and Radu [4], we prove the generalized Hyers-Ulam stability of the functional equationThe quadratic form f : R × R → R given by f (x, y) = ax 2 + by 2 is a solution of the above functional equation.

Cited by 1 publication

References 11 publications

Hyers-Ulam-Rassias Stability of the $C^*$-ternary Bi-homomorphisms and $C^*$-ternary Bi-derivations in $C^*$-ternary Algebras

Hyers-Ulam-Rassias Stability of the $C^*$-ternary Bi-homomorphisms and $C^*$-ternary Bi-derivations in $C^*$-ternary Algebras

Contact Info

Product

Resources

About

Hyers-Ulam-Rassias Stability of the $C^$-ternary Bi-homomorphisms and $C^$-ternary Bi-derivations in $C^*$-ternary Algebras

Hyers-Ulam-Rassias Stability of the $C^$-ternary Bi-homomorphisms and $C^$-ternary Bi-derivations in $C^*$-ternary Algebras