Karapınar, E.Cvetković, M.2025-05-052025-05-0520251224-178410.2478/auom-2025-00102-s2.0-105004810203https://doi.org/10.2478/auom-2025-0010https://hdl.handle.net/20.500.14411/10549The question of metrizability of suprametric space is answered positively. The observed metric coincides with a suprametric in a way that convergence and continuity are preserved between suprametric space and associated metric space along with the propery of a Cauchy sequence. Consequently, a suprametric space is complete if and only if associated metric space is complete. Fixed point theorems in suprametric space are obtained as a corollary of well-known fixed point results. © 2025 Erdal Karaplnar et al.eninfo:eu-repo/semantics/closedAccess46L05Secondary 47A3047B47Compact OperatorsElementaryGateaux Derivative. 2010 Mathematics Subject Classification: Primary 46G05OperatorsOrthogonalityOn the Metrizability of Suprametric SpaceArticle