Lou's fixed point theorem in a space of continuous mappings (Q2501659)

The purpose of this paper is twofold. First, the author gives an essentially simplified proof of a fixed point theorem of \textit{B.--D.\ Lou} [Proc.\ Am.\ Math.\ Soc.\ 127, No.~8, 2259--2264 (1999; Zbl 0918.47046)]. Second, he shows that the proof of a similar fixed point theorem due to \textit{E.~de Pascale} and \textit{L.~de Pascale} [Proc.\ Am.\ Math.\ Soc.\ 130, No.~11, 3249--3254 (2002; Zbl 1002.47031)] does not require the use of \(K\)-normed spaces.