SCIENCE ASIA

Volume 47, No. 01, Month FEBRUARY, Year 2021, Pages 126 - 130

Hyers-ulam stability of iterative equations in banach spaces

Xi Wang

Abstract Download PDF

In the present paper, we discuss the Hyers-Ulam stability of the equation G f (f (x)) = F f (x) in a Banach space. By constructing a uniformly convergent sequence of functions, we prove that if one can find an approximate solution of such an equation, then there must be a unique solution close to the approximate solution.

Keywords

Hyers-Ulam stability, iterative equation, Banach space

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