Korean J. Math.  Vol 25, No 4 (2017)  pp.469-481
DOI: http://dx.doi.org/10.11568/kjm.2017.25.4.469

General nonconvex split variational inequality problems

Jong Kyu Kim, Dr. Salahuddin, Won Hee Lim

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


uniform prox-regularity, iterative sequences, adjoint operator, Hilbert spaces.

Subject classification

47J53, 65K10, 49M37, 90C25.

Sponsor(s)



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References


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