In this paper, we present a rational type -Admissible contraction mappings in the context of partially ordered b-metric spaces and leverage on it to establish the existence and uniqueness of fixed point theorems for self-mappings within the framework of complete partially ordered b-metric spaces. The results of this article are applied to determine the solution to an integral equation. Through illustrative examples, we showcase the practical applicability of the results, demonstrating their effectiveness in real-world scenarios.
Raji et al. (Thu,) studied this question.