Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623927 | Journal of Mathematical Analysis and Applications | 2006 | 11 Pages |
Abstract
We present an iterative procedure for solving, in finite dimensions, generalized equations of the formequation(∗)0∈f(x)+F(x),0∈f(x)+F(x), where f is a continuous function while FF stands for a closed set-valued mapping. Assuming that f belongs to a class of functions admitting a certain type of approximation and that the solution set of (∗) satisfies a calmness-type property we show that the method we consider is superlinearly convergent to a solution of (∗).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Michel H. Geoffroy,