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Fixed-point theorems for Fréchet spaces

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Part of the Lecture Notes in Mathematics book series (LNM,volume 280)

Keywords

  • Linear Space
  • Nontrivial Solution
  • Topological Vector Space
  • Nonlinear Partial Differential Equation
  • Contraction Mapping Principle

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References

  1. T.B. Benjamin. "A unified theory of conjugate flows", Phil. Trans. Roy. Soc., vol. 269, A. 1201, July 1971, p. 49.

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  2. S.-T. Hu. Theory of retracts, Wayne State U. Press, 1965, Detroit.

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  3. M.A. Krasnosel'skii. Positive solutions of operator equations, Noordhoff, 1964, Groningen.

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  4. M. Nagumo. "Degree of mapping in convex linear topological spaces", Amer. J. Math. vol. 73, 1951, p. 497.

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  5. F. Treves. Topological vector spaces, distributions and kernels, Academic Press, 1967, London.

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© 1972 Springer-Verlag

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Bona, J. (1972). Fixed-point theorems for Fréchet spaces. In: Everitt, W.N., Sleeman, B.D. (eds) Conference on the Theory of Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066932

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  • DOI: https://doi.org/10.1007/BFb0066932

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05962-2

  • Online ISBN: 978-3-540-37618-7

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