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This work aims to extend the Geraghty fixed point results motivated by the approach of rational-type contractions. We introduce the class of rational Geraghty contraction (RGC) of type I, II, III and provide the related fixed-disc (fixed-circle) results in metric spaces (MS) and S-metric spaces (S-MS). We also derive common fixed disc (fixed circle) results for these contractions.

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Rational Type Fixed-Disc and Common Fixed-Disc Results on Metric and S-Metric Spaces via Geraghty Type Contractions

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  • 发表日期：

    2025年

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  • Nihal Taş,
  • Elif Kaplan

摘要

This work aims to extend the Geraghty fixed point results motivated by the approach of rational-type contractions. We introduce the class of rational Geraghty contraction (RGC) of type I, II, III and provide the related fixed-disc (fixed-circle) results in metric spaces (MS) and S-metric spaces (S-MS). We also derive common fixed disc (fixed circle) results for these contractions.