on hilbert golab-schinzel type functional equation

نویسندگان

driss zeglami

mohamed tial

samir kabbaj

چکیده

abstract. let x be a vector space over a field k of real or complex numbers.we will prove the superstability of the following golab-schinzel type equationf(x + g(x)y) = f(x)f(y); x; y 2 x;where f; g are unknown functions (satisfying some assumptions). then we generalize the superstability result for this equation with values in the field of complex numbers to the case of an arbitrary hilbert space with the hadamard product. our result refers to papers by chudziak and tabor (j. math. anal. appl. 302 (2005) 196–200), jab lo´nska (bull. aust. math.soc. 87 (2013), 10–17) and rezaei (math. ineq. appl., 17 (2014), 249–258).

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عنوان ژورنال:
international journal of nonlinear analysis and applications

ناشر: semnan university

ISSN

دوره 6

شماره 2 2015

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