EQUIDIFFERENTIABILITY OF SUBSETS OF INFINITELY DIFFERENTIABLE FUNCTION SPACES

作者：Kodama Satoshi^*; Akashi Shigeo

来源：Fixed Point Theory, 2010, 11(2): 323-326.

• Equicontinuity
• equidifferentiability
• Schauder's fixed point theorem
• Tychonoff's fixed point theorem

In this paper, the concept of equidifferentiability, which is analogous to the concept of equicontinuity, is introduced and this concept is applied to some relations between the sets consisting of finitely equidifferentiable functions defined on [0,1] and the sets consisting of infinitely equidifferentiable functions defined on [0,1]. Moreover, fixed point theorems for the finitely differentiable function spaces and those for the infinitely differentiable function spaces are remarked.

• 出版日期2010