APPROXIMATION OF NONMONOTONE MULTIVALUED DIFFERENTIAL-INCLUSIONS

Authors
MIETTINEN M HASLINGER J
Citation
M. Miettinen et J. Haslinger, APPROXIMATION OF NONMONOTONE MULTIVALUED DIFFERENTIAL-INCLUSIONS, IMA journal of numerical analysis, 15(4), 1995, pp. 475-503
Citations number
27
Categorie Soggetti
Mathematics,Mathematics
Journal title
IMA journal of numerical analysis → ACNP
ISSN journal
02724979
Volume
15
Issue
4
Year of publication
1995
Pages
475 - 503
Database
ISI
SICI code
0272-4979(1995)15:4<475:AONMD>2.0.ZU;2-E
Abstract
An approximation of non-monotone, multivalued differential inclusions, so-called hemivariational inequalities, is presented. A relation betw een approximation problem and the problem of finding a substationary p oint of an approximation of the corresponding potential function is al so established. This relation makes it possible to solve the approxima ted problem by using nonsmooth, non-convex optimization methods. Some numerical experiments are also presented.