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1-Determinacy of feasible sets

  • Nonlinear Optimization
  • Conference paper
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System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 143))

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4 Reference

  1. Gibson, C.G., Singular points of smooth mappings, Research notes in Mathematics 25, Pitman (1979).

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  3. Jongen, H.Th., P. Jonker and F. Twilt, Nonlinear optimization in R n, I. Morse theory, Chebychev approximation (Peter Lang Verlag, Frankfurt a.M.-Bern-New York, 1983).

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  4. Mangasarian, O.L. and S. Fromovitz., “The Fritz John necessary optimality conditions in the presence of equality and inequality constraints,” Journal of Mathematical Analysis and Applications 17, pp.37–47 (1967).

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  5. Matsumoto, T., S.Shindoh and R.Hirabayashi, “Local linearization of feasible sets,” Research Reports on Information Science, B-210, Tokyo Institute of Technology, (1988).

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  6. Matsumoto, T., S.Shindoh and R.Hirabayashi, “1-determinacy of feasible sets,” Research Reports on Information Science, B-215, Tokyo Institute of Technology, (1988).

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  7. Siersma, D., “Singularities of functions on boundaries, corners, etc.,” Quarterly Journal of Mathematics Oxford Series (2) 32, No.125 pp.119–127 (1982).

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Author information

Authors and Affiliations

  1. National Research Institute of Fisheries Science, Kachidoki 5-5-1, Chuo-ku, 104, Tokyo, Japan

    Toshihiro Matsumoto

  2. Department of Management and Informatics, San-noh College, Kamikasuya 1573, Isehara, 259-11, Kanagawa, Japan

    Susumu Shindoh

  3. Department of Management Sciences, Science University of Tokyo, Kagurazaka 1-3, Shinjuku-ku, 162, Tokyo, Japan

    Ryuichi Hirabayashi

Authors
  1. Toshihiro Matsumoto
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  2. Susumu Shindoh
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  3. Ryuichi Hirabayashi
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Editor information

H. -J. Sebastian K. Tammer

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© 1990 International Federation for Information Processing

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Matsumoto, T., Shindoh, S., Hirabayashi, R. (1990). 1-Determinacy of feasible sets. In: Sebastian, H.J., Tammer, K. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008369

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  • DOI: https://doi.org/10.1007/BFb0008369

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52659-9

  • Online ISBN: 978-3-540-47095-3

  • eBook Packages: Springer Book Archive

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