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September 10, 2025European Journal of Pure and Applied MathematicsOpen Access

Advances in Rational Contractions within Extended b-Metric Spaces and Their Applications

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Authors

HQHaitham QawaqnehManagement and Science UniversityGAGawhara Al-MusannefArab Open UniversityHAHabes AlsamirMehran University of Engineering and Technology

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Implication

This study demonstrates new fixed point theorems using rational contractions in extended b-metric spaces, indicating broader applications.

Key Points

  • New fixed point theorems were established, broadening the applicability of contractive mappings.
  • A control function approach is used to enhance the study of contractive mappings in extended b-metric spaces.
  • Analytical techniques combined with integral operator theory allow exploration of Volterra and Urysohn equations.
  • Illustrative examples and numerical simulations validate the theoretical results, showing real-world relevance.

Cite This Study

Qawaqneh et al. (2025) studied this question.

synapsesocial.com/papers/68c1a77a54b1d3bfb60e0bb3https://doi.org/10.29020/nybg.ejpam.v1i2.6056
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Also Consider

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  1. 1Rational-type contractions and their applications in extended b-metric spaces2024 · 3 citations
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  4. 4Extended b-metric spaces and the related approximate fixed point results2023
  5. 5Common Interpolative Rational Type Contractions in Bipolar Metric Spaces2025