Parametric 2-metric spaces and some fixed point results

The main goal of the present article is to describe the notionof a parametric 2-metric space which is a nonlinear generalization of the parametric metric, and consider somefixed point theorems in the parametric 2-metric spaces. We first propose the elementary definitions and the notions of parametric 2-metric spaces. Then, we present and prove some fixed point theorems in a complete parametric 2-metric spaces.Keywords: Parametric metric, 2-metric, convergence, fixed point theorem.