Some Existence Theorems for Nonconvex Variational Inequalities Problems

By using nonsmooth analysis knowledge, we provide the conditions for existence solutions of the variational inequalities problems in nonconvex setting. We also show that the strongly monotonic assumption of the mapping may not need for the existence of solutions. Consequently, the results presented...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2010-01, Vol.2010 (2010), p.1069-1077
Main Author: Petrot, Narin
Format: Article
Language:English
Subjects:
Algorithms
Mathematical analysis
Studies
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Summary:By using nonsmooth analysis knowledge, we provide the conditions for existence solutions of the variational inequalities problems in nonconvex setting. We also show that the strongly monotonic assumption of the mapping may not need 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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2010/472760