Non-Archimedean stabilities of multiplicative inverse µ-functional inequalities

Hemen Dutta; B. V. Senthil Kumar; S. Suresh

doi:10.2478/auom-2024-0008

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Non-Archimedean stabilities of multiplicative inverse µ-functional inequalities

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 32 (2024): Issue 1 (April 2024)

By: Hemen Dutta, B. V. Senthil Kumar and S. Suresh

Open Access

|May 2024

Abstract

This study is motivated through the interesting non-Arcchimedean stability results of ρ-inequalities and ρ-equations arising from linear, second power, third power and fourth power mappings. The aim of this paper is to determine the solutions of new multiplicative inverse µ-inequalities and µ-equations arising from multiplicative inverse mapping. Further, their stabilities involved with various superior limits are proved in the context of non-Archimedean complete normed spaces.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2024-0008 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 141 - 154

Submitted on: Feb 1, 2023

Accepted on: Apr 20, 2023

Published on: May 27, 2024

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

rational mapping,

rational functional equation,

Ulam-Hyers stability,

generalized Ulam-Hyers stability

Related subjects:

Mathematics,

General mathematics

© 2024 Hemen Dutta, B. V. Senthil Kumar, S. Suresh, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 32 (2024): Issue 1 (April 2024)