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| Volume 4, Number 3, September 2008, pp. 493-512 | ||||||||
| T. Haddad, A. Jourani and L. Thibault | ||||||||
| Key words: | ||||||||
| Normal cone, ρ-prox-regular set, α-far property for sets, subdifferential, sweeping process, fixed point theorem, mixed semicontinuity | ||||||||
| Mathematices Subject Classification: 34A60, 34B15, 47H10 | ||||||||
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| Abstract: | |||
| For a general class of nonconvex and non prox-regular sets, we associate with any sweeping process differential inclusion with such sets an unconstraint differential inclusion whose any solution is a solution of the sweeping process too. The case with bounded and unbounded pertubations is also investigated and an application to an existence theorem is provided. | |||
| Reduction of sweeping process to unconstrained differential inclusion | ||