【摘要】<正>An(F)-spaceEissaidtobelocallymidpointconstricted(inshort,Imp-constricted)ifthereexistssomeδ>0suchthatD(A/2)<D(A)foreverysubsetAofEwith0<D(A)≤δ,whereD(A)denotesthediameterofA.Ourmainresultgoesasfollow:LetEbeanImp-constricted(F)-spaceandUanopenconnectedsubsetofE.AssumethatT:U→Fis
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