Approximation of Mixed-Type Functional Equations in Menger PN-Spaces
Let X and Y be vector spaces. We show that a function f:X→Y with f(0)=0 satisfies Δf(x1,…,xn)=0 for all x1,…,xn∈X, if and only if there exist functions C:X×X×X→Y, B:X×X→Y and A:X→Y such that f(x)=C(x,x,x)+B(x,x)+A(x) for all x∈X, where the function C is symmetric for each fixed one variable and is a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/392179 |