Shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in Hadamard manifold

The purpose of this article is to introduce a general shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in Hadamard manifolds. It is shown that under mild conditions, the sequence generated by the proposed algorithm converges strongly to a common solution to a finite family of quasi-variational inclusion problems. As applications, we apply our results to study a system of variational inequalities in Hadamard manifolds. Our results presented in the paper generalize and improve some recent results.

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