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This work aims to investigate the Ulam stability of the quadratic-additive functional equation in 2-Banach spaces using direct method and fixed-point method. The study focuses on the stability of quadratic mapping and additive mapping. The results obtained have a practical applications, demonstrating that the stability of the quadratic-additive functional equation can be controlled through the sums and products of powers of norms.

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Fixed-Point Method: Stability Results of Functional Equation Deriving from Additive-Quadratic Mappings in 2-Banach Spaces

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  • 发表日期：

    2025年

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  • Kandhasamy Tamilvanan,
  • N. Revathi,
  • Yahya Almalki,
  • N. Uthirasamy

摘要

This work aims to investigate the Ulam stability of the quadratic-additive functional equation in 2-Banach spaces using direct method and fixed-point method. The study focuses on the stability of quadratic mapping and additive mapping. The results obtained have a practical applications, demonstrating that the stability of the quadratic-additive functional equation can be controlled through the sums and products of powers of norms.