WepresentsomefixedpointresultsinBanachalgebrasbasedonthesocalleddegreeofnondensifiabilityφd.Itisshownthatφdisanalternativemethodtomeasuresofnoncompactnesstoobtainfixedpointresults.Asanapplicationoftheusefulnessofφditisprovedtheexistenceofsolutionforsom