Common Fixed Point for pairs of Weakly Compatible Mappings in C*-algebra Valued b-Metric Space

Abstract

In this article, we vouched for some results on common fixed points for two pairs of weakly compatible mappings with a generalized contractive condition satisfying $(E.A.)$ and $(CLR)$ properties in the framework of $C^*$-algebra valued $b$-metric spaces. The proven results extend and generalize some of the results in the literature. To verify the confirmed results, we demonstrated some examples.