Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (1): 74-78.

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

  

  1. 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)

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

CLC Number: