We consider a Yosida inclusion problem in the setting of Hadamard manifolds. We study Korpelevich-type algorithm for computing the approximate solution of Yosida inclusion problem. The resolvent and Yosida approximation operator of a monotone vector field and their properties are used to prove that the sequence generated by the proposed algorithm converges to the solution of Yosida inclusion problem. An application to our problem and algorithm is presented to solve variational inequalities in Hadamard manifolds.

中文翻译：

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解决Hadamard流形中的Yosida包含问题

我们在Hadamard流形的设置中考虑了Yosida包含问题。我们研究Korpelevich型算法来计算Yosida包含问题的近似解。用单调向量场的分辨力和Yosida逼近算子及其性质来证明所提算法生成的序列收敛于Yosida包含问题的解。提出了我们的问题和算法的应用，以解决Hadamard流形中的变分不等式。