Motivated by the projection technique, in this paper, we introduce a new method for approximating the solution of nonlinear equations with convex constraints. Under the assumption that the associated mapping is Lipchitz continuous and satisfies a weaker assumption of monotonicity, we establish the global convergence of the sequence generated by the proposed algorithm. Applications and numerical example are presented to illustrate the performance of the proposed method.

中文翻译：

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约束非线性方程和图像复原的高效无梯度投影算法

受投影技术的启发，本文介绍了一种新的近似具有凸约束非线性方程组解的方法。在关联映射是Lipchitz连续并且满足较弱的单调性假设的假设下，我们建立了所提出算法生成的序列的全局收敛性。给出了应用实例和数值算例，说明了该方法的性能。