THE PICARD THEOREM ON S-METRIC SPACES

THE PICARD THEOREM ON S-METRIC SPACES

Recently,the notion of an S-metric space is defined and extensively studied as a generalization of a metric space.In this paper,we define the notion of the S∞-space and prove its completeness.We obtain a new generalization of the classical "Picard Theorem".

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Veröffentlicht in:数学物理学报（英文版） 2018, Vol.38 (4), p.1245-1258
Hauptverfasser: Nihal Yilmaz (O)ZG(U)R, Nihal TA(S)
Format: Artikel
Sprache:eng
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Zusammenfassung:Recently,the notion of an S-metric space is defined and extensively studied as a generalization of a metric space.In this paper,we define the notion of the S∞-space and prove its completeness.We obtain a new generalization of the classical "Picard Theorem".
ISSN:0252-9602
DOI:10.3969/j.issn.0252-9602.2018.04.010