内点同伦方法求解更一般非凸集上的不动点问题

数学季刊 ›› 2012, Vol. 27 ›› Issue (1): 74-78.

内点同伦方法求解更一般非凸集上的不动点问题

College of Mathematics, Luoyang Normal University

收稿日期:2009-12-03 出版日期:2012-03-30 发布日期:2023-04-06
作者简介:SU Meng-long(1975-), male, native of Heze, Shandong, an associate professor of Luoyang Normal University, Ph.D., engages in computational mathematics; LIU Mai-xue(1953-), male, native of Luoyang, Henan, a professor of Luoyang Normal University, engages in algebra and computational mathematics.
基金资助:
Supported by the NNSF of China(11026079)； Supported by the Youth Backbone Teacher Foundation of Henan Province(173)

Solving Fixed Point Problems in More General Nonconvex Sets Via an Interior Point Homotopy Method

College of Mathematics, Luoyang Normal University

Received:2009-12-03 Online:2012-03-30 Published:2023-04-06
About author:SU Meng-long(1975-), male, native of Heze, Shandong, an associate professor of Luoyang Normal University, Ph.D., engages in computational mathematics; LIU Mai-xue(1953-), male, native of Luoyang, Henan, a professor of Luoyang Normal University, engages in algebra and computational mathematics.
Supported by:
Supported by the NNSF of China(11026079)； Supported by the Youth Backbone Teacher Foundation of Henan Province(173)

摘要/Abstract

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

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.

Key words: nonconvex sets, interior point homotopy method

中图分类号:

O177.91

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[J]. 数学季刊, 2012, 27(1): 74-78.

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, 27(1): 74-78.

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