Aslantas M.Sahin H.Altun I.2021-01-142021-01-1420211392-5113https://doi.org/10.15388/namc.2021.26.21415https://hdl.handle.net/20.500.12587/12923In this paper, we introduce the concept of cyclic p-contraction pair for single-valued mappings. Then we present some best proximity point results for such mappings defined on proximally complete pair of subsets of a metric space. Also, we provide some illustrative examples that compared our results with some earliest. Finally, by taking into account a fixed point consequence of our main result we give an existence and uniqueness result for a common solution of a system of second order boundary value problems. © 2021 Authors. Published by Vilnius University Press.eninfo:eu-repo/semantics/openAccessBest proximity pointBoundary value problemCyclic p-contractionsFixed pointArticle26111312910.15388/namc.2021.26.214152-s2.0-85098990321Q1WOS:000604976400007Q1