### General nonconvex split variational inequality problems

#### Abstract

In this paper, we established a general nonconvex split variational inequality problem, this is, an extension of general convex split variational inequality problems in two different Hilbert spaces. By using the concepts of prox-regularity, we proved the convergence of the iterative schemes for the general nonconvex split variational inequality problems. Further, we also discussed the iterative method for the general convex split variational inequality problems.

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DOI: http://dx.doi.org/10.11568/kjm.2017.25.4.469

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