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A Hybrid Algorithm for the Computation of Fixed Points

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  • C. B. Garcia

    (University of Chicago)

Abstract

Given a continuous mapping of a simplex to itself, an algorithm is shown that generates an infinite sequence of points converging to a fixed point of the mapping. Taking advantage of a generalization of Sperners lemma, the proposed method generalizes those of Scarf and Eaves in a manner such that both methods are given a unifying formulation.

Suggested Citation

  • C. B. Garcia, 1976. "A Hybrid Algorithm for the Computation of Fixed Points," Management Science, INFORMS, vol. 22(5), pages 606-613, January.
  • Handle: RePEc:inm:ormnsc:v:22:y:1976:i:5:p:606-613
    DOI: 10.1287/mnsc.22.5.606
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    Cited by:

    1. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2001. "Existence of balanced simplices on polytopes," Other publications TiSEM 4240b1b6-949e-4d15-942e-8, Tilburg University, School of Economics and Management.
    2. Eaves, C. & van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 1996. "Balanced Simplices on Polytopes," Other publications TiSEM 21c51445-984c-4466-9e6a-6, Tilburg University, School of Economics and Management.

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