International Journal of Nonlinear Analysis and Applications

An example for the nonstability of multicubic mappings

Document Type : Research Paper

Author

Department of Mathematics, West Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

In this paper, we present a counterexample for the nonstability of multicubic mappings. In other words, we show that Corollary 3.5 of [A. Bodaghi and B. Shojaee, On an equation characterizing multi-cubic mappings and its stability and hyperstability, Fixed Point Theory. 22 (2021), No. 1, 83--92] does not hold when $\alpha=3n$.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 3
March 2023
Pages 273-277
  • Receive Date: 11 January 2022
  • Revise Date: 06 September 2022
  • Accept Date: 09 September 2022