# Find this reference or an alternative where I can find this result

I need this reference, but I couldn't find it online as a PDF. Any help please?

J. Sun, X, Zhang, The fixed point theorem of convex-power condensing operator and applications to abstract semilinear evolution equations, Acta Math. Sinica (in Chinese) 48 (2005) 339–446.

If you have any other paper which contains the following result, please let me know.

If $$H\subseteq \mathcal{C}(I,E)$$ is equicontinuous and $$x_0\in \mathcal{C}(I,E)$$, then $$\overline{\mathrm{co}}(H\cup \{x_0\})$$ is also equicontinuous in $$\mathcal{C}(I,E)$$,

where $$\overline{\mathrm{co}}$$ is the closure of the hull convex, and $$\mathcal{C}(I, E)$$ the space of all continuous functions $$u:I\rightarrow E$$, where $$I\subset \mathbb{R}$$, and $$E$$ a Banach space.

• Isn't this obvious? An inequality $|f(s)-f(t)|\le \varepsilon$ for $f\in H\cup\{x_0\}$ passes to the convex hull and uniform closure. – Jochen Wengenroth Oct 5 at 11:25
• @Jochen Wengenroth Yeah, I know that it's easy to prove this result, but i don't wnat to prove it, i just want to cite a paper which contains the result – Motaka Oct 5 at 11:27

It is online and freely accessible, but the web site of the journal is somewhat crippled. This site does not work at all for me

http://actamath.com/EN/abstract/abstract1243.shtml#