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Abstract
The aim of this work is to suggest a new system of nonconvex variational inequalities in a q-uniformly smooth Banach space and establish an equivalence relation between this system and fixed point problems. By using the equivalence formulation, we construct a new perturbed projection iterative algorithm with mixed errors for finding a solution set of a system of nonconvex variational inequalities. Also, we prove the convergence theorem of the suggested iterative sequences generated by the algorithm.
How to Cite this Article:
Jong Kyu Kim, Salahuddin, A system of nonconvex variational inequalities in Banach spaces, Communications in Optimization Theory 2016 (2016), Article ID 20.