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Some existence theorems for nonconvex variational inequalities problems. (English) Zbl 1206.49012
Summary: By using nonsmooth analysis knowledge, we provide conditions for the existence of solutions of variational inequalities problems in nonconvex setting. We also show that the strongly monotonic assumption of the mapping is not necessary for the existence of solutions. Consequently, the results presented in this paper can be viewed as an improvement and refinement of some known results from the literature.
MSC:
49J40Variational methods including variational inequalities
49J52Nonsmooth analysis (other weak concepts of optimality)