General dualities of resolving subcategories of finitely generated modules over artin algebras are characterized as dualities with respect to Wakamatsu tilting bimodules. By restriction of these dualities to resolving subcategories of modules with finite projective, Gorenstein-projective or semiGorenstein-projective dimension, Miyashita’s duality on tilting modules and its converse as well as their Gorenstein version are obtained. Applications include constructions of triangle equivalences of homotopy categories of finitely generated projective modules or derived categories of finitely generated Gorenstein-projective modules, and showing the invariance of higher algebraic K-groups and semi-derived Ringel-Hall algebras of finitely generated Gorenstein-projective modules under tilting. This is a joint work with Professor Hongxing Chen.