We　propose　a　projection-type　algorithm　for　generalized　mixed　variational　inequality　problem　in　Euclidean　space　R-n.　We　establish　the　convergence　theorem　for　the　proposed　algorithm,　provided　the　multi-valued　mapping　is　continuous　and　f-pseudomonotone　with　nonempty　compact　convex　values　on　dom(f),　where　f　:　Rn　-＞　RU{+infinity}　is　a　proper　function.　The　algorithm　presented　in　this　paper　generalize　and　improve　some　known　algorithms　in　literatures.　Preliminary　computational　experience　is　also　reported.