Generalizations of the Dennis-moré Theorem Ii
نویسنده
چکیده
This paper is a continuation of our previous paper [3] were we presented generalizations of the Dennis-Moré theorem to characterize q-superliner convergences of quasi-Newton methods for solving equations and variational inequalities in Banach spaces. Here we prove Dennis-Moré type theorems for inexact quasi-Newton methods applied to variational inequalities in finite dimensions. We first consider variational inequalities for functions that are merely Lipschitz continuous. Then we present a parallel result for semismooth functions. An erratum to a theorem in our previous paper is also given.
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تاریخ انتشار 2013