[InlineEquation not available: see fulltext.]-Metric spaces and some fixed point theorems

Abstract

The aim of this paper is to establish the structure of [InlineEquation not available: see fulltext.]-metric spaces, as a generalization of 2-metric spaces. Some fixed point results for various contractive-type mappings in the context of ordered [InlineEquation not available: see fulltext.]-metric spaces are presented. We also provide examples to illustrate the results presented herein, as well as an application to integral equations.