Article ID Journal Published Year Pages File Type
4619788 Journal of Mathematical Analysis and Applications 2009 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis