Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (4): 1245-1258.doi: 10.1016/S0252-9602(18)30811-7

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THE PICARD THEOREM ON S-METRIC SPACES

Nihal Yilmaz ÖZGÜR, Nihal TA?   

  1. Department of Mathematics, Bal?kesir University, 10145 Bal?kesir, Turkey
  • Received:2017-01-25 Revised:2017-11-20 Online:2018-08-25 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".

Key words: S-space, completeness, Picard Theorem, initial value problem

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