Articles

THE PICARD THEOREM ON S-METRIC SPACES

  • Nihal Yilmaz Ö ,
  • ZGÜ ,
  • R ,
  • Nihal TAŞ
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  • Department of Mathematics, Bal?kesir University, 10145 Bal?kesir, Turkey

Received date: 2017-01-25

  Revised date: 2017-11-20

  Online published: 2018-08-25

Abstract

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".

Cite this article

Nihal Yilmaz Ö , ZGÜ , R , Nihal TAŞ . THE PICARD THEOREM ON S-METRIC SPACES[J]. Acta mathematica scientia, Series B, 2018 , 38(4) : 1245 -1258 . DOI: 10.1016/S0252-9602(18)30811-7

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