2012, vol. 16, iss. 2, pp. 79-87
|
|
General system of nonconvex variational inequalities and parallel projection method
Keywords: System of nonconvex general variational inequality; fixed point problem; parallel algorithm; proximal normal cone; relaxed cocoercive mapping
Abstract
Using the prox-regularity notion, we introduce and study a system of general nonconvex variational inequalities. Using the parallel projection technique, we suggest and analyze a three-step iterative method for this system. We establish a convergence result for the proposed iteration method. We obtain some known results as a particular case.
|