on the superstability and stability of the pexiderized exponential equation

نویسندگان

mohsen alimohammady

ali sadeghi

چکیده

the main purpose of this paper is to establish some new results onthe superstability and stability via a fixed point approach forthe pexiderized exponential equation, i.e.,$$|f(x+y)-g(x)h(y)|leq psi(x,y),$$where $f$, $g$ and $h$ are three functions from an arbitrarycommutative semigroup $s$ to an arbitrary unitary complex banachalgebra and also $psi: s^{2}rightarrow [0,infty)$ is afunction. furthermore, in connection with the open problem of th.m. rassias and our results we generalized the theorem of baker,lawrence, zorzitto and theorem of l. sz$acute{e}$kelyhidi.

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عنوان ژورنال:
caspian journal of mathematical sciences

ناشر: university of mazandaran

ISSN 1735-0611

دوره 1

شماره 2 2012

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