Some fixed point theorems on $\alpha$-$\beta$-$G$-complete $ G $-metric spaces

Abstract

In this manuscript, we initiate the concept of rectangular $\alpha$-$G$-admissible mappings with respect to $\beta$ and we consider related type contractions in the setting of $G$-metric spaces. We provide some fixed point results. Also, some examples are given to support the obtained results.

Keywords

• $g$-metric space
• fixed point
• almost perfect function
• rectangular $\alpha$-admissible mapping