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

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

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.

Qawaqneh et al. (2025) studied this question.

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