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Generalized Baker’s result and stability of functional equations using fixed point results

  • Supriti Laha and Lakshmi Kanta Dey EMAIL logo
Published/Copyright: May 7, 2025
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Abstract

Hyers-Ulam stability of functional equation in single variable is studied in non-triangular metric spaces. We derive it as applications of some fixed point results developed on the said structure. A general version of Baker’s theorem is also deduced as a consequence.

2020 Mathematics Subject Classification: Primary 47H10; 39B82; Secondary 54H25

Acknowledgement

The authors are thankful to Subhadip Pal, NIT Durgapur, for his suggestions during the preparation of the manuscript. The authors deeply appreciate the perceptive review, which has significantly enriched this work.

  1. (Communicated by David Buhagiar)

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Received: 2024-07-23
Accepted: 2024-10-30
Published Online: 2025-05-07
Published in Print: 2025-04-28

© 2025 Mathematical Institute Slovak Academy of Sciences

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