A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces

作者：Brzdek Janusz; Cieplinski Krzysztof^*

来源：Journal of Mathematical Analysis and Applications, 2013, 400(1): 68-75.

DOI：10.1016/j.jmaa.2012.11.011

• Non-Archimedean normed space
• Fixed point
• Hyers-Ulam stability
• Linear functional equation
• Square symmetric groupoid

We prove a fixed point theorem in complete non-Archimedean normed spaces and show its applications in the Hyers-Ulam stability of some functional equations.

• 出版日期2013-4-1