Abstract : The main object of this paper is to present a general mathematical theory applicable to the study of a large class of linear variational inequalities arising in electronics. Our approach uses recession tools so as to define a new class of problems that we call "semi-complementarity problems". Then we show that the study of semi-complementarity problems can be used to prove new qualitative results applicable to the study of linear variational inequalities of the second kind
https://hal.inria.fr/hal-00756295 Contributor : Bernard BrogliatoConnect in order to contact the contributor Submitted on : Friday, May 20, 2016 - 2:07:21 PM Last modification on : Thursday, January 20, 2022 - 5:28:05 PM Long-term archiving on: : Sunday, August 21, 2016 - 10:13:48 AM
Khalid Addi, Bernard Brogliato, Daniel Goeleven. A qualitative mathematical analysis of a class of variational inequalities via semi-complementarity problems: applications in electronics. Mathematical Programming, Springer Verlag, 2011, 126 (1), pp.31-67. ⟨10.1007/s10107-009-0268-7⟩. ⟨hal-00756295⟩