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Methods of Duals in Nonlinear Analysis

Lipschitz Duals of Banach Spaces and Some Applications

  • Conference paper
Nonlinear and Convex Analysis in Economic Theory

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 419))

Abstract

In the functional analysis for linear operators, there are many types of useful methods, techniques and tools. On the other hand, for nonlinear operators, it seems that functional analysis does not have so many fundamental methods, though various types of fixed point theorems have been investigated. Such a situation it made us eager to find other applicable methods to the nonlinear analysis.

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References

  1. N. Bourbaki, Topologie générale, Chap. I, Hermann, Paris, 1951.

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  2. John B. Conway, A Course in Functional Analysis, Springer, New York, 1985.

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  3. N. Dunford and J. Schwartz, Linear Operators, I, Interscience, New York, 1958.

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  4. U. Krengel, Ergodic Theorems, Walter de Gruyter, Berlin New York, 1985.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Ochanomizu University Otsuka, Bunkyo-ku, Tokyo 112, Japan

    Ikuko Sawashima

Authors
  1. Ikuko Sawashima
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Editor information

Editors and Affiliations

  1. Department of Economics Keio University, 2-15-45, Mita, Minato-Ku, Tokyo 108, Japan

    Toru Maruyama (Director of the Conference) (Director of the Conference)

  2. Department of Information Science, Tokyo Institute of Technology, 2-12-1, Ohokayama, Meguro-ku, Tokyo 152, Japan

    Wataru Takahashi (Chief director of the Conference) (Chief director of the Conference)

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© 1995 Springer-Verlag Berlin Heidelberg

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Sawashima, I. (1995). Methods of Duals in Nonlinear Analysis. In: Maruyama, T., Takahashi, W. (eds) Nonlinear and Convex Analysis in Economic Theory. Lecture Notes in Economics and Mathematical Systems, vol 419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48719-4_19

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  • DOI: https://doi.org/10.1007/978-3-642-48719-4_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58767-5

  • Online ISBN: 978-3-642-48719-4

  • eBook Packages: Springer Book Archive

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