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Fixed point results for a new $ \alpha $-$ \theta $-Geraghty type contraction mapping in metric-like space via $ \mathcal{C}_\mathcal{G} $-simulation functions

  • Received: 17 August 2023 Revised: 19 October 2023 Accepted: 23 October 2023 Published: 08 November 2023
  • MSC : 47H10, 37C25, 47H09

  • This paper aims to introduce the new concept of an $ \alpha $-$ \theta $-Geraghty type contraction mapping using $ \mathcal{C}_{\mathcal{G}} $-simulation in a metric-like space. Additionally, through this type of contraction, we establish fixed point results that generalize several known fixed point results in the literature. We provide some examples as an application that proves the credibility of our results.

    Citation: Abdellah Taqbibt, M'hamed Elomari, Milica Savatović, Said Melliani, Stojan Radenović. Fixed point results for a new $ \alpha $-$ \theta $-Geraghty type contraction mapping in metric-like space via $ \mathcal{C}_\mathcal{G} $-simulation functions[J]. AIMS Mathematics, 2023, 8(12): 30313-30334. doi: 10.3934/math.20231548

    Related Papers:

  • This paper aims to introduce the new concept of an $ \alpha $-$ \theta $-Geraghty type contraction mapping using $ \mathcal{C}_{\mathcal{G}} $-simulation in a metric-like space. Additionally, through this type of contraction, we establish fixed point results that generalize several known fixed point results in the literature. We provide some examples as an application that proves the credibility of our results.



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