<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 <italic>µ-</italic>inequalities and <italic>µ</italic>-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.</p>
</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.

Non-Archimedean stabilities of multiplicative inverse <italic>µ</italic>-functional inequalities

Department of Mathematics, Saveetha School of Engineering

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Non-Archimedean stabilities of multiplicative inverse -functional inequalities

This study is motivated through the interesting non-Arcchimedean stability results of ρ-inequalities and ρ-equations arising from linear, second power, third...

Non-Archimedean stabilities of multiplicative inverse µ-functional inequalities

Published Online: May 27, 2024

Page range: 141 - 154

Received: Feb 01, 2023

Accepted: Apr 20, 2023

DOI: https://doi.org/10.2478/auom-2024-0008

Keywords
rational mapping, rational functional equation, Ulam-Hyers stability, generalized Ulam-Hyers stability

© 2024 Hemen Dutta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Non-Archimedean stabilities of multiplicative inverse µ-functional inequalities

Published Online: May 27, 2024

Page range: 141 - 154

Received: Feb 01, 2023

Accepted: Apr 20, 2023

DOI: https://doi.org/10.2478/auom-2024-0008

Keywordsrational mapping, rational functional equation, Ulam-Hyers stability, generalized Ulam-Hyers stability

© 2024 Hemen Dutta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
rational mapping, rational functional equation, Ulam-Hyers stability, generalized Ulam-Hyers stability