Title :
Homotopy Method for a Class of Fixed-Point Problems
Author :
Tan, Jiawei ; Chen, Jia ; Liu, Qinghuai
Author_Institution :
Sch. of Basic Sci., Changchun Univ. of Technol., Changchun, China
Abstract :
Fixed point theorems have been applied to economic analysis. In this paper, the well-known Brouwer fixed point theorem is discussed to a class of nonconvex sets and a globally convergent homotopy method is developed for computing the fixed-point on this class of nonconvex sets. In addition, a simple example is given to show the effectiveness of the modified method.
Keywords :
Convergence; Nonlinear equations; Nonlinear systems; Optimization methods; Physics; Polynomials; Power engineering and energy; Power generation economics; Transportation; Fixed point; Global convergence; Hair-mapping; Homotopy method; Nonconvex set;
Conference_Titel :
Computational Science and Optimization (CSO), 2010 Third International Joint Conference on
Conference_Location :
Huangshan, Anhui, China
Print_ISBN :
978-1-4244-6812-6
Electronic_ISBN :
978-1-4244-6813-3
DOI :
10.1109/CSO.2010.236
