This study aims to show that four maps in a b-metric space that satisfy pairwise weak compatibility have common fixed points under certain conditions. In the main results of this paper, (CLR) property is employed, and common fixed points for four weakly compatible mappings are established. All our findings are backed up by befitting examples. Our results generalize and extend certain previous findings in the literature.

In this study, using a quadratic inequality, we prove certain fixed point theorems for four pair wise occasionally weakly compatible maps. In fact, we slightly modify the inequality used by G. V. R. Babu et al. [3,4] and apply it to S-metric spaces. We also give an example to justify the relevance and reliability of our results.

In this study, we adopt an inequality of higher degree to acquire common fixed points for single and multi valued mappings with the help of (CLR) and (JCLR) properties. All of our results are strengthened with suitable examples.