Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619788 | Journal of Mathematical Analysis and Applications | 2009 | 8 Pages |
Abstract
As a powerful mechanism, fixed point theorems have many applications in mathematical and economic analysis. In this paper, the well-known Brouwer fixed point theorem and Kakutani fixed point theorem are generalized to a class of nonconvex sets and a globally convergent homotopy method is developed for computing fixed points on this class of nonconvex sets.
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