Suzuki, Tomonari Lou’s fixed point theorem in a space of continuous mappings. (English) Zbl 1106.47049 J. Math. Soc. Japan 58, No. 3, 769-774 (2006). The purpose of this paper is twofold. First, the author gives an essentially simplified proof of a fixed point theorem of 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 E. de Pascale and 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. Reviewer: Jürgen Appell (Würzburg) Cited in 3 Documents MSC: 47H10 Fixed-point theorems Keywords:Banach contraction principle Citations:Zbl 0918.47046; Zbl 1002.47031 × Cite Format Result Cite Review PDF Full Text: DOI Euclid References: [1] S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math., 3 (1922), 133-181. · JFM 48.0201.01 [2] E. de Pascale and L. de Pascale, Fixed points for some non-obviously contractive operators, Proc. Amer. Math. Soc., 130 (2002), 3249-3254. · Zbl 1002.47031 · doi:10.1090/S0002-9939-02-06704-7 [3] E. de Pascale and P. P. Zabreiko, Fixed point theorems for operators in spaces of continuous functions, Fixed Point Theory, 5 (2004), 117-129. · Zbl 1066.47054 [4] B. Lou, Fixed points for operators in a space of continuous functions and applications, Proc. Amer. Math. Soc., 127 (1999), 2259-2264. · Zbl 0918.47046 · doi:10.1090/S0002-9939-99-05211-9 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.