Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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GENERAL NONCONVEX SPLIT VARIATIONAL INEQUALITY PROBLEMS

  • Received : 2017.06.14
  • Accepted : 2017.09.27
  • Published : 2017.12.30
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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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