Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets View Full Text


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Article Info

DATE

2017-02-23

AUTHORS

Abderrahim Jourani, Emilio Vilches

ABSTRACT

The existence and the convergence (up to a subsequence) of the Moreau-Yosida regularization for the state-dependent sweeping process with nonregular (subsmooth and positively alpha-far) sets are established. Then, by a reparametrization technique, the existence of solutions for bounded variation continuous state-dependent sweeping processes with nonregular (subsmooth and positively alpha-far) sets is proved. An application to vector hysteresis is discussed, where it is shown that the Play operator with positively alpha-far sets is well defined for bounded variation continuous inputs. More... »

PAGES

91-116

References to SciGraph publications

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  • 2013-03-19. State-Dependent Sweeping Process with Perturbation in ADVANCES IN APPLIED MATHEMATICS AND APPROXIMATION THEORY
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  • 1993. Differential Inclusions in Nonsmooth Mechanical Problems, Shocks and Dry Friction in NONE
  • 2013-03-30. Regularization of differential variational inequalities with locally prox-regular sets in MATHEMATICAL PROGRAMMING
  • 2014-07-18. Reduction of state dependent sweeping process to unconstrained differential inclusion in JOURNAL OF GLOBAL OPTIMIZATION
  • 2014-11-29. Nonconvex Sweeping Process with a Moving Set Depending on the State in VIETNAM JOURNAL OF MATHEMATICS
  • 2008-10-28. Differential Inclusions in SET-VALUED ANALYSIS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10957-017-1083-6

    DOI

    http://dx.doi.org/10.1007/s10957-017-1083-6

    DIMENSIONS

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