STABILITY OF CAUCHY ADDITIVE FUNCTIONAL EQUATION IN A LATTICE RANDOM NORMED SPACE

Authors

  • Shaymaa Alshybani Department of Mathematics, College of Science University of Al-Qadisiyah

Abstract

This study investigates the stability of the Cauchy additive functional equation

 

in lattice random normed spaces (LRN-S). Using lattice structure and random norm techniques, it is shown that any approximate solution under random perturbations is close toa true linear function. The results extend the classical Hyers-Ulam stability concept touncertain and lattice-structured environments.

 

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Published

2026-02-28

Issue

Volume 31, Number 1, March 2026

Section

Articles