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Zbl 1206.49012
Petrot, Narin
Some existence theorems for nonconvex variational inequalities problems. (English)
[J] Abstr. Appl. Anal. 2010, Article ID 472760, 9 p. (2010). ISSN 1085-3375; ISSN 1687-0409/e

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 2000:: *49J40 Variational methods including variational inequalities
49J52 Nonsmooth analysis (other weak concepts of optimality)

Keywords: nonsmooth analysis; variational inequalities problems in nonconvex setting; existence of solutions

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