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

GENERAL NONCONVEX SPLIT VARIATIONAL INEQUALITY PROBLEMS  

Kim, Jong Kyu (Department of Mathematics Education, Kyungnam University)
Salahuddin, Salahuddin (Department of Mathematics, Jazan University)
Lim, Won Hee (Department of Mathematics Education, Kyungnam University)
Publication Information
Korean Journal of Mathematics / v.25, no.4, 2017 , pp. 469-481 More about this Journal
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.
Keywords
General nonconvex split variational inequality problems; general convex split variational inequality problems; relaxed (${\kappa}$, ${\upsilon}$)-cocoercive mappings; inverse strongly monotone mappings; uniform prox-regularity; iterative sequences; adjoint operator; Hilbert spaces;
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Times Cited By KSCI : 3  (Citation Analysis)
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