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THE PICARD THEOREM ON S-METRIC SPACES 被引量:1

THE PICARD THEOREM ON S-METRIC SPACES
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摘要 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". 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".
出处 《Acta Mathematica Scientia》 SCIE CSCD 2018年第4期1245-1258,共14页 数学物理学报(B辑英文版)
关键词 S∞-space COMPLETENESS Picard Theorem initial value problem S∞-space completeness Picard Theorem initial value problem
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