Related Fixed Point Theorems in Partially Ordered b-Metric Spaces and Applications to Integral Equations

Abstract

In this research paper, we have set some related fixed point results for generalized weakly contractive mappings defined in partially ordered complete $b$-metric spaces. Our results are an extension of previous authors who have already worked on fixed point theory in $b$-metric spaces. We state some examples and one sample of the application of the obtained results in integral equations, which support our results.