English

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

Functional Analysis 2024-05-22 v1

Abstract

Hyre-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.

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Cite

@article{arxiv.2405.12515,
  title  = {Generalized Baker's result and stability of functional equations using fixed point results},
  author = {Supriti Laha and Lakshmi Kanta Dey},
  journal= {arXiv preprint arXiv:2405.12515},
  year   = {2024}
}

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13-page