Title :
Modified homotopy path-following algorithm for Brouwer fix-point problems
Author :
Tan, Jiawei ; Zhao, Jiaqi ; Chen, Jia ; Liu, Qinghuai
Author_Institution :
Sch. of Basic Sci., Changchun Univ. of Technol., Changchun, China
Abstract :
Fixed point theorems have many applications in economic analysis, optimization, nonlinear programming and engineering sciences. In this paper, the well-known Brouwer fixed point theorem is discussed to a class of nonconvex sets. We modified the homotopy path-following algorithm and hence make the modified method be able to solve Brouwer fixed-point problems easily.
Keywords :
concave programming; topology; Brouwer fix-point problems; economic analysis; engineering sciences; modified homotopy path-following algorithm; nonconvex sets; nonlinear programming; optimization; DH-HEMTs; Erbium; component homotopy; fixed-point; homotopy; nonconvex subset; path-following; quasi normal cone condition;
Conference_Titel :
Computer, Mechatronics, Control and Electronic Engineering (CMCE), 2010 International Conference on
Conference_Location :
Changchun
Print_ISBN :
978-1-4244-7957-3
DOI :
10.1109/CMCE.2010.5609941
