b2-Metric spaces and some fixed point theorems

The aim of this paper is to establish the structure of b2-metric spaces, as a generalization of 2-metric spaces. Some fixed point results for various contractive-type mappings in the context of ordered b2-metric spaces are presented. We also provide examples to illustrate the results presented herein, as well as an application to integral equations.

b-metric space; 2-metric space; partially ordered set; fixed point; generalized contractive map