Indexed by:期刊论文

Date of Publication:2013-01-01

Journal:FIXED POINT THEORY

Included Journals:SCIE、Scopus

Volume:14

Issue:2

Page Number:531-544

ISSN No.:1583-5022

Key Words:Combined homotopy method; nonconvex sets; fixed point; pseudo cone condition

Abstract:In the paper, to compute the fixed point of a self-mapping in a class of nonconvex unbounded sets with both inequality and equality constraints, a modified homotopy is constructed and the existence and convergence of the smooth homotopy pathways is proved under mild conditions. Compared with the previous reults, the modified combined homotopy method needs only weaker conditions. Some numerical examples are given to show the feasibility and effectiveness of the proposed method.