A generalized Hubbard model with on-site interaction U, inter-site int
eraction V, and general correlated hopping. is studied using a mapping
method. An exact solution of the problem of one hole and one doubly-o
ccupied site moving in a ferromagnetic spin background is obtained. Th
e mapping method used is based on mapping the original many-body probl
em onto an equivalent tight-binding one with impurities in a higher di
mensional space.