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论文类型：期刊论文

发表时间：2013-01-01

发表刊物：FIXED POINT THEORY

收录刊物：SCIE、Scopus

卷号：14

期号：2

页面范围：531-544

ISSN号：1583-5022

关键字：Combined homotopy method; nonconvex sets; fixed point; pseudo cone condition

摘要：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.