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We introduce logarithmic and generalized logarithmic set−valued functional equations and inequalities to establish the Hyers−Ulam−Rassias stability theorems via the fixed point technique in a real Banach space. We offer substantial illustrations to demonstrate the significance of our investigations concerning the stability of these functional equations.

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Stability of Logarithmic and Generalized Logarithmic Set-Valued Functional Equations

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  • 发表日期：

    2026年

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  • Sudheer Petwal,
  • Anita Tomar,
  • Meena Joshi

摘要

We introduce logarithmic and generalized logarithmic set−valued functional equations and inequalities to establish the Hyers−Ulam−Rassias stability theorems via the fixed point technique in a real Banach space. We offer substantial illustrations to demonstrate the significance of our investigations concerning the stability of these functional equations.