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<p>In this paper, we introduce the notion of (<i>α</i>, <i>F, Φ</i>)-weak contraction in the setting of double-composed metric space and present the related fixed points. We also present some examples showing the significance and correlation of the obtained results. Our results improve, unify, and generalize previous works on <i>F</i>-contractions. We applied our result to show the existence of solutions for nonlinear integral equations.</p>

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Discussion on fixed points for (α, F, Φ)-contractions in double-composed metric spaces

  • 期刊论文

  • 发表日期：

    2025年9月12日

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  • Chol Jin Kil,
  • Bun-Hui Kim,
  • Un-Ryong Rim

摘要

In this paper, we introduce the notion of (α, F, Φ)-weak contraction in the setting of double-composed metric space and present the related fixed points. We also present some examples showing the significance and correlation of the obtained results. Our results improve, unify, and generalize previous works on F-contractions. We applied our result to show the existence of solutions for nonlinear integral equations.