Journal of applied mathematics & informatics
- Volume 17 Issue 1_2_3
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- Pages.59-72
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
HEMIVARIATIONAL INEQUALITIES
Abstract
The auxiliary principle is used to suggest and analyze some iterative methods for solving solving hemivariational inequalities under mild conditions. The results obtained in this paper can be considered as a novel application of the auxiliary principle technique. Since hemivariational inequalities include variational inequalities and nonlinear optimization problems as special cases, our results continue to hold for these problems.
Keywords
- Variational inequalities;
- iterative methods;
- convergence;
- complementarity problems;
- pseudomonotonicity