Generalized Monotone Nonsmooth Maps
نویسندگان
چکیده
Recent characterizations of various types of differentiable generalized monotone maps by Karamardian– Schaible–Crouzeix and their strengthened versions by Crouzeix–Ferland are extended to the nonsmooth case. For nondifferentiable locally Lipschitz maps necessary and/or sufficient conditions for quasimonotonicity, pseudomonotonicity and strict/ strong pseudomonotonicity are derived. To accomplish this, the generalized Jacobian in the sense of Clarke is employed.
منابع مشابه
Generalized Monotone
Recent characterizations of various types of diierentiable generalized monotone maps by Karamardian{ Schaible{Crouzeix and their strengthened versions by Crouzeix{Ferland are extended to the nonsmooth case. For nondiierentiable locally Lipschitz maps necessary and/or suucient conditions for quasimono-tonicity, pseudomonotonicity and strict/ strong pseudomonotonicity are derived. To accomplish t...
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