On the new Hyers–Ulam–Rassias stability of the generalized cubic set-valued mapping in the incomplete normed spaces
Articles
Maryam Ramezani
University of Bojnord
Hamid Baghani
University of Sistan and Baluchestan
https://orcid.org/0000-0001-5601-6480
Juan J. Nieto
University of Santiago de Compostela
https://orcid.org/0000-0001-8202-6578
Published 2021-09-01
https://doi.org/10.15388/namc.2021.26.24367
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Keywords

stability
orthogonal set
cubic mapping
fixed point
incomplete metric space

How to Cite

Ramezani M., Baghani H. and Nieto J. J. (2021) “On the new Hyers–Ulam–Rassias stability of the generalized cubic set-valued mapping in the incomplete normed spaces”, Nonlinear Analysis: Modelling and Control, 26(5), pp. 821-841. doi: 10.15388/namc.2021.26.24367.

Abstract

We present a novel generalization of the Hyers–Ulam–Rassias stability definition to study a generalized cubic set-valued mapping in normed spaces. In order to achieve our goals, we have applied a brand new fixed point alternative. Meanwhile, we have obtained a practicable example demonstrating the stability of a cubic mapping that is not defined as stable according to the previously applied methods and procedures.

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