SOME COUPLED FIXED POINT THEOREMS IN PARTIALLY ORDERED PARTIAL METRIC SPACES AND APPLICATION TO INTEGRAL EQUATIONS

Some coupled fixed point theorems in partially ordered partial. .

Résumé

In this paper, we prove coupled fixed point theorems using ψ-contractive conditions in partially ordered partial metric spaces. We also provide corollaries to the established conclusions. Furthermore, we provide several examples to support the established results. An application of the nonlinear integral equation is also provided. Several conclusions in the current literature are extended, generalized and enriched by our findings. Our results, in particular extend and generalize the findings of Aydi [8] and Bhaskar and Lakshmikantham [12].