  In this paper, we propose an inexact Newton-like conditional gradient method
for solving constrained systems of nonlinear equations. The local convergence
of the new method as well as results on its rate are established by using a
general majorant condition. Two applications of such condition are provided:
one is for functions whose the derivative satisfies Holder-like condition and
the other is for functions that satisfies a Smale condition, which includes a
substantial class of analytic functions. Some preliminaries numerical
experiments illustrating the applicability of the proposed method for medium
and large problems are also presented.
