New Best Proximity Point Results for Generalized Multivalued F − Proximal Contractions in Partial b − Metric Spaces

In this paper, we introduce generalized multivalued F − proximal contraction mappings in the framework of partial b − metric spaces and prove some best proximity point results for such mappings. We also establish best proximity point theorems for multivalued F − proximal contraction mapping involving α − admissibility in partial b − metric spaces. Our new findings for the best proximity points extend and generalize several results in the literature. Moreover, we provide nontrivial examples to verify our findings. Lastly, we derive an existence of a solution to an integral equation to validate our findings.