MULTI-VALUED VARIATIONAL INCLUSION PROBLEM IN HADAMARD MANIFOLDS

摘要

We consider a multi-valued variational inclusion problem in Hadamard manifold and study the Korpelevich-type algorithm to estimate the approx-imate solution of a multi-valued variational inclusion problem. We used the properties of the multi-valued monotone vector field to prove that the sequence generated by the proposed algorithm converges to the solution of multi-valued variational inclusion problem. An example is also presented in support of our problem. The results presented in this paper improve and generalize some known results given in the literature.