Panda, Sumati KumariAgarwal, Ravi P.Karapınar, Erdal2023-12-182023-12-182023Panda, Sumati Kumar; Agarwal, Ravi P.; Karapınar, Erdal. (2023). "Extended suprametric spaces and Stone-type theorem", AIMS Mathematics, Vol.8, No.10, pp.23183-23190.24736988http://hdl.handle.net/20.500.12416/6784Extended suprametric spaces are defined, and the contraction principle is established using elementary properties of the greatest lower bound instead of the usual iteration procedure. Thereafter, some topological results and the Stone-type theorem are derived in terms of suprametric spaces. Also, we have shown that every suprametric space is metrizable. Further, we prove the existence of a solution of Ito-Doob type stochastic integral equations using our main fixed point theorem in extended suprametric spaces.eninfo:eu-repo/semantics/openAccessAn Extended Suprametric SpaceFixed Point And Ito-Doob Type Stochastic Integral EquationsMetrizationArticle810231832319910.3934/math.20231179