Common fixed point under contractive condition of iric's type on cone metric type spaces

The purpose of this article is to generalize common fixed point theorems under contractive condition of iric's type on a cone metric type space. We give basic facts about cone metric type spaces, and we prove common fixed point theorems under contractive condition of iric's type on a cone...

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Veröffentlicht in:Fixed point theory and algorithms for sciences and engineering 2012-12, Vol.2012 (1), p.1-7
Hauptverfasser: Stanic, Marija P, Cvetkovic, Aleksandar S, Simic, Suzana, Dimitrijevic, Sladjana
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Sprache:eng
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Zusammenfassung:The purpose of this article is to generalize common fixed point theorems under contractive condition of iric's type on a cone metric type space. We give basic facts about cone metric type spaces, and we prove common fixed point theorems under contractive condition of iric's type on a cone metric type space without assumption of normality for cone. As special cases we get the corresponding fixed point theorems on a cone metric space with respect to a solid cone. Obtained results in this article extend, generalize, and improve, well-known comparable results in the literature. 2000 Mathematics Subject Classification: 47H10; 54H25; 55M20.[PUBLICATION ABSTRACT]
ISSN:1687-1820
2730-5422
1687-1812
DOI:10.1186/1687-1812-2012-35