Approximation of non-monotone multivalued differential inclusions |
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| Authors: | MIETTINEN MARKKU; HASLINGER JAROSLAV |
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| Institution: |
Department of Mathematics, University of Jyväskylä PO Box 35, FIN– Jyväskylä, Finland
KFK MFF UK, Ke Karlovu 5, 12000 Praha, Czech Republic and Department of Mathematics, University of Jyväskylä PO Box 35, FIN–40351 JyvaSkylti, Finland
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| Abstract: | An approximation of non-monotone, multivalued differential inclusions,the so-called hemivariationa] inequalities, is presented. Arelation between the approximation problem and the problem offinding a substationary point of an approximation of the correspondingpotential function is also established. This relation makesit possible to solve the approximated problem by using nonsmooth,non-convex optimization methods. Some numerical experimentsare also presented. |
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