In this article, we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-contraction mapping and the set of zeros of monotone inclusion problems on Hadamard manifolds. As applications, we use our results to study the minimization problems and equilibrium problems in Hadamard manifolds.

中文翻译：

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Hadamard流形上单调包含问题和不动点的新算法及应用

在本文中，我们提出了一种新算法，并证明了由该算法推广的序列强烈收敛到拟伪收缩映射和半收缩映射的不动点集合的公共元素以及Hadamard 流形上的单调包含问题。作为应用，我们使用我们的结果来研究 Hadamard 流形中的最小化问题和平衡问题。