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An extragradient algorithm for solving general nonconvex variational inequalities

โœ Scribed by Muhammad Aslam Noor

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
251 KB
Volume
23
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this work, we suggest and analyze an extragradient method for solving general nonconvex variational inequalities using the technique of the projection operator. We prove that the convergence of the extragradient method requires only pseudomonotonicity, which is a weaker condition than requiring monotonicity. In this sense, our result can be viewed as an improvement and refinement of the previously known results. Our method of proof is very simple as compared with other techniques.

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