A fixed point theorem in non-Archimedean asymmetric normed linear spaces

Abstract

Jointly with H.-P. K¨unzi we started investigating a concept of spherical completeness in ultra-quasipseudometric spaces which we called q-spherical completeness. In this article we study fixed point theorems in a space X endowed with a non-Archimedean asymmetric norm structure. Here we extend certain results of Petalas and Vidalis and Kirk and Shahzad.