New Fixed-Point Theorems on an <i>S</i>-metric Space via Simulation Functions

Abstract

In this paper, we prove new fixed-point theorems using the set of simulation functions on an S-metric space with some illustrative examples. Our results are stronger than some known fixed-point results. Furthermore, we give an application to the fixed-circle problem with respect to a simulation function.

Keywords

• fixed point
• fixed disc
• S-metric space
• simulation function