Geodesic
Quasi-Contractions on a Nonnormal Cone Metric Space
Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 1, pp. 75-79

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Ilić and Rakočević [Appl. Math. Lett., 22:5 (2009), 728–731] proved a fixed point theorem for quasi-contractive mappings on cone metric spaces when the underlying cone is normal. Recently, Z. Kadelburg, S. Radenović, and V. Rakočević obtained a similar result without using the normality condition but only for a contractive constant $\lambda\in(0,1/2)$ [Appl. Math. Lett., 22:11 (2009), 1674–1679]. In this note, using a new method of proof, we prove this theorem for any contractive constant $\lambda \in (0,1)$.
Keywords: fixed point, cone metric space
Mots-clés : quasi-contraction. 
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     author = {L. Gaji\'c and V. Rako\v{c}evi\'c},
     title = {Quasi-Contractions on a {Nonnormal} {Cone} {Metric} {Space}},
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L. Gajić; V. Rakočević. Quasi-Contractions on a Nonnormal Cone Metric Space. Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 1, pp. 75-79. http://geodesic.mathdoc.fr/item/FAA_2012_46_1_a7/