Comparing Nonsmooth Nonconvex Bundle Methods in Solving Hemivariational Inequalities

  title={Comparing Nonsmooth Nonconvex Bundle Methods in Solving Hemivariational Inequalities},
  author={Marko M. M{\"a}kel{\"a} and M. Miettinen and Ladislav Luksan and Jan Vlcek},
  journal={J. Global Optimization},
Abstract. Hemivariational inequalities can be considered as a generalization of variational inequalities. Their origin is in nonsmooth mechanics of solid, especially in nonmonotone contact problems. The solution of a hemivariational inequality proves to be a substationary point of some functional, and thus can be found by the nonsmooth and nonconvex optimization methods. We consider two type of bundle methods in order to solve hemivariational inequalities numerically: proximal bundle and bundle… CONTINUE READING


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