Existence of best proximity and xed points in Gp-metric spaces

In this paper, we establish some best proximity point theorems using new proximal contractive mappings in asymmetric Gp-metric spaces. Our motive is to nd an optimal approximate solution of a xed point equation. We provide best proximity points for cyclic contractive mappings in Gp-metric spaces. As consequences of these results, we deduce xed point results in Gp-metric spaces. We also provide examples to analyze and support our results.