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<p>The significant role of square root mapping in probability, statistics, physics, architecture and engineering motivates us to emphasize on a new radical functional equation arising from a square root and reciprocal square root mappings. The interesting attribute of this equation is that it has both a square root mapping and a reciprocal square root mapping as solutions. We establish that the hyperstabilities of this equation exist using a fixed point alternative theorem. It is also demonstrated with an example that the stability may fail in special cases.</p>

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Approximate solution of an advanced reciprocal-radical functional equation

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Hemen Dutta,
  • B. V. Senthil Kumar,
  • S. Suresh

摘要

The significant role of square root mapping in probability, statistics, physics, architecture and engineering motivates us to emphasize on a new radical functional equation arising from a square root and reciprocal square root mappings. The interesting attribute of this equation is that it has both a square root mapping and a reciprocal square root mapping as solutions. We establish that the hyperstabilities of this equation exist using a fixed point alternative theorem. It is also demonstrated with an example that the stability may fail in special cases.