A note on a fixed point theorem and the Hyers-Ulam stability

作者:Badora Roman; Brzdek Janusz*
来源:Journal of Difference Equations and Applications, 2012, 18(6): 1115-1119.
DOI:10.1080/10236198.2011.559165

摘要

We present a theorem that is a simultaneous generalization of the classical Banach fixed point theorem and a theorem of G. L. Forti on the Hyers-Ulam stability (of difference and functional equations). We also give an example that shows how to use that result in finding the solutions of some difference equations.

  • 出版日期2012