Ilić, Dejan; Rakočević, Vladimir Quasi-contraction on a cone metric space. (English) Zbl 1179.54060 Appl. Math. Lett. 22, No. 5, 728-731 (2009). The authors define and study quasi-contractive mappings on a cone metric space. These mappings are a generalization of Ćirić’s quasi-contractions. A lemma and a fixed point theorem are established for such mappings. This result generalizes the results of L.-G. Huang and X. Zhang [J. Math. Anal. Appl. 332, No. 2, 1468–1476 (2007; Zbl 1118.54022)]. Reviewer: Hemant Kumar Nashine (Raipur) Cited in 6 ReviewsCited in 73 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) Keywords:fixed point; quasi-contractive mapping; cone metric Citations:Zbl 1118.54022 PDF BibTeX XML Cite \textit{D. Ilić} and \textit{V. Rakočević}, Appl. Math. Lett. 22, No. 5, 728--731 (2009; Zbl 1179.54060) Full Text: DOI OpenURL References: [1] Ćirić, Lj.B., A generalization of banach’s contraction principle, Proc. amer. math. soc., 45, 267-273, (1974) · Zbl 0291.54056 [2] Gajić, Lj.; Rakočević, V., Pair of non-self-mappings and common fixed points, Appl. math. comput., 187, 999-1006, (2007) · Zbl 1118.54304 [3] Guang, H.L.; Xian, Z., Cone metric spaces and fixed point theorems of contractive mappings, J. math. anal. appl, 332, 1468-1476, (2007) · Zbl 1118.54022 [4] Rakočević, V., Functional analysis, (1994), Naučna knjiga, Beograd 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.