URSIM for Meromorphic Functions in a non-Archimedean Field

Let $$\mathbb K$$ be an algebraically closed field of characteristic zero, complete with respect to a non-Archimedean absolute value. We first give a sufficient condition for a finite set $$S\subset {\mathbb K}$$ such that if $$f$$ and $$g $$ share $$S$$ ignoring multiplicity, then $$ f=g.$$ As consequences, we obtain a new class of unique range sets for non-Archimedean meromorphic functions ignoring multiplicity with $$14$$ elements. Our result improves and generalizes some previous results of Banerjee-Maity in [5], Hu-Yang in [10] and Escassut-Haddad-Vidal in [3].