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内点同伦方法求解更一般非凸集上的不动点问题(英文)
引用本文:苏孟龙,刘麦学.内点同伦方法求解更一般非凸集上的不动点问题(英文)[J].数学季刊,2012(1):74-78.
作者姓名:苏孟龙  刘麦学
作者单位:College of Mathematics,Luoyang Normal University
基金项目:Supported by the NNSF of China(11026079);Supported by the Youth Backbone Teacher Foundation of Henan Province(173)
摘    要:In this paper,we are mainly devoted to solving fixed point problems in more general nonconvex sets via an interior point homotopy method.Under suitable conditions,a constructive proof is given to prove the existence of fixed points,which can lead to an implementable globally convergent algorithm.

关 键 词:nonconvex  sets  interior  point  homotopy  method

Solving Fixed Point Problems in More General Nonconvex Sets Via an Interior Point Homotopy Method
SU Meng-long,LIU Mai-xue.Solving Fixed Point Problems in More General Nonconvex Sets Via an Interior Point Homotopy Method[J].Chinese Quarterly Journal of Mathematics,2012(1):74-78.
Authors:SU Meng-long  LIU Mai-xue
Institution:(College of Mathematics,Luoyang Normal University,Luoyang 471000,China)
Abstract:In this paper,we are mainly devoted to solving fixed point problems in more general nonconvex sets via an interior point homotopy method.Under suitable conditions,a constructive proof is given to prove the existence of fixed points,which can lead to an implementable globally convergent algorithm.
Keywords:nonconvex sets  interior point homotopy method
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