<p>To solve constrained nonlinear equations and address signal restoration, this paper proposes a modified Dai-Liao-type conjugate gradient projection algorithm for finding solutions of constrained nonlinear equations, which combines an efficient line search approach with a projection operator. In such an algorithm, a novel conjugate coefficient is designed by modifying the classical Dai-Liao method to guarantee the sufficient descent and trust region properties for the search direction. The global convergence of the proposed algorithm is established under the condition of the monotonicity of nonlinear equations. The linear convergence rate of the proposed algorithm is also established under some standard assumptions. Through extensive numerical experiments, the proposed algorithm’s efficiency and competitive performance are demonstrated, particularly in comparison with other similar methods.</p>