In order to obtain the strong convergence theorem of split equality fixed point problems in Banach space,a new iterative algorithm is constructed in appropriate conditions.Then,under more general conditions,it is proved that the sequence generated by the algorithm converges strongly to a solution of the fixed point problem of split equality.Finally,the strong convergence theorems of the split equality equilibrium problem and the zero point problem of the maximal monotone operator are attained according to the obtained results.