A nonlinear descent method for a variational inequality on a nonconvex set |
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Authors: | I V Konnov |
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Institution: | (1) Kazan State University, ul. Kremlevskaya 18, Kazan, 420008, Russia |
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Abstract: | In this paper, we consider a generalized variational inequality problem which involves the integrable cost mapping and a nonsmooth mapping with convex components. We propose a new gradient-type method which determines a stepsize by using the smooth part of the cost function. Thus, the method does not utilize analogs of derivatives of nonsmooth functions. We show that its convergence does not require additional assumptions. |
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Keywords: | generalized variational inequality nonsmooth mapping nonlinear descent method |
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