Modified homotopy methods to solve fixed points of self-mapping in a broader class of nonconvex sets

作者：Su Menglong^*; Liu Zhenxin

来源：Applied Numerical Mathematics, 2008, 58(3): 236-248.

DOI：10.1016/j.apnum.2006.11.008

• combined homotopy interior point method
• nonconvex sets
• unbounded convex sets

This paper consists of two parts. In Section 2, we are mainly devoted to modify a combined homotopy interior point method (proposed by Yu and Lin, Homotopy method for a class of nonconvex Brouwer fixed point problems, Appl. Math. Comput. 74 (1996) 65-77) to solve fixed points of self-mapping in a broader class of nonconvex sets. Several numerical examples are presented to show the effectiveness of modifications. In Section 3, we modify their method to solve fixed points of self-mapping in the unbounded convex sets, a simple example is given to show its modification.

• 出版日期2008-3
• 单位洛阳师范学院; 吉林大学