Non-Archimedean stabilities of multiplicative inverse µ-functional inequalities

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.

Keywords

• rational mapping
• rational functional equation
• ulam-hyers stability
• generalized ulam-hyers stability
• primary 39b82
• secondary 39b72