AsacontinuationofpartIofthepaperunderthesametitle,wedevelopgeneralmonotonicenclosuremethodsforthecouplesystemsofthesplittingequations{x=G([x]a,[x]b,[y]c)y=G([y]a,[y]b,[x]c),whichmodelsthesystemofequationsassociatedwithhybridandaaynchronottsmonotonicityaswellasconvexity.Theresultingalgorithmsandconvergencetheoremsgeneralizeandunifyvariousknownmethodsandmonotonicenclosuretheorentsestablishedbyotherauthors.