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2010 Some Existence Theorems for Nonconvex Variational Inequalities Problems
Narin Petrot
Abstr. Appl. Anal. 2010: 1-9 (2010). DOI: 10.1155/2010/472760


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.


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Narin Petrot. "Some Existence Theorems for Nonconvex Variational Inequalities Problems." Abstr. Appl. Anal. 2010 1 - 9, 2010.


Published: 2010
First available in Project Euclid: 12 August 2011

zbMATH: 1206.49012
MathSciNet: MR2771234
Digital Object Identifier: 10.1155/2010/472760

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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