A superquadratic method for solving variational inclusions under weak conditions.
Newton-secant Method for Functions With Values in a Cone
2010 Mathematics Subject Classification: 49J53, 47H04, 65K10, 14P15.
A variant of Newton's method for generalized equations.
On the convergence of some methods for variational inclusions
Metric subregularity of order q and the solving of inclusions
We consider some metric regularity properties of order q for set-valued mappings and we establish several characterizations of these concepts in terms of Hölder-like properties of the inverses of the mappings considered. In addition, we show that even if these properties are weaker than the classical notions of regularity for set-valued maps, they allow us to solve variational inclusions under mild assumptions.
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