The　problem　of　an　unsteady　magnetohydrodynamic　stagnation　point　flow　of　an　incompressible　viscous　fluid　over　a　shrinking　sheet　is　discussed　in　the　presence　of　thermal　radiation　and　boundary　slip,　which　has　not　been　documented　to　date　in　the　literature.　The　governing　boundary-layer　equations　are　transformed　to　high　order　nonlinear　and　ordinary　differential　equations　by　similarity　transformations　and　then　solved　numerically.　The　effects　of　magnetic　parameter,　unsteadiness　parameter,　radiation　parameter,　velocity,　and　thermal　slip　parameters　on　velocity　and　temperature　are　analyzed　and　discussed.　It　is　found　that　dual　solutions　of　both　velocity　and　temperature　fields　exist　for　negative　values　of　the　velocity　ratio　parameter.　The　results　indicate　that　dual　solution　domains　of　velocity　and　temperature　expand　as　the　unsteadiness　parameter　increases.　©　2015　Wiley　Periodicals,　Inc.