Advances on the fixed point results via simulation function involving rational terms

Abstract

Abstract In this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and unify the existing results in two senses: in the sense of contraction terms and in the sense of the abstract setting. We present an example to indicate the validity of the main theorem.

Keywords

• Simulation functions
• Contraction
• Fixed point