Extended Partial <i>S_b</i>-Metric Spaces

Abstract

In this paper, we introduce the concept of extended partial S b -metric spaces, which is a generalization of the extended S b -metric spaces. Basically, in the triangle inequality, we add a control function with some very interesting properties. These new metric spaces generalize many results in the literature. Moreover, we prove some fixed point theorems under some different contractions, and some examples are given to illustrate our results.

Keywords

• extended partial <i>S_b</i>-metric spaces
• <i>S_b</i>-metric spaces
• fixed point