Homotopies for computation of fixed points on unbounded regions

B. Curtis Eaves; Romesh Saigal

doi:10.1007/bf01584991

journal article Dec 01, 1972

Homotopies for computation of fixed points on unbounded regions

B. Curtis Eaves Romesh Saigal

Mathematical Programming Vol. 3-3 No. 1 pp. 225-237 · Springer Science and Business Media LLC

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References

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B.C. Eaves, “On the basic theorem of complementarity,”Mathematical Programming 1 (1) (1971) 68–75. 10.1007/bf01584073

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B.C. Eaves, “Homotopies for computation of fixed points,”Mathematical Programming 3 (1972) 1–22. 10.1007/bf01584975

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J. Freidenfields, “A fixed point algorithm and almost-complementary sets,” Technical Report No. 71-3, Department of Operations Research, Stanford University, April 1971. In addition, “Fixed point algorithms and almost-complementary sets,” Ph.D. dissertation, Department of Operations Research, Stanford University, August 1971.

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H.W. Kuhn, “Simplicial approximation of fixed points,”Proceedings of the National Academy of Sciences U.S.A. 61 (1968) 1238–1242. 10.1073/pnas.61.4.1238

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C.E. Lemke, “Bimatrix equilibrium points and mathematical programming,”Management Science 11 (7) (1965) 681–689. 10.1287/mnsc.11.7.681

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O.H. Merrill, “Applications and extensions of an algorithm that computes fixed points of certain non-empty convex upper semi-continuous point to set mappings,” Department of Industrial Engineering, University of Michigan, Technical Report No. 71-7, September 1971.

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H. Scarf, “The approximation of fixed points of a continuous mapping,”SIAM Journal of Applied Mathematics 15 (5) (1967). 10.1137/0115116

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Cited By

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A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results

R. B. Kellogg, T. Y. Li · 1976

SIAM Journal on Numerical Analysis

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165

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12

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Details

Published: Dec 01, 1972
Vol/Issue: 3-3(1)
Pages: 225-237
License: View

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Cite This Article

B. Curtis Eaves, Romesh Saigal (1972). Homotopies for computation of fixed points on unbounded regions. Mathematical Programming, 3-3(1), 225-237. https://doi.org/10.1007/bf01584991

Homotopies for computation of fixed points on unbounded regions

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