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Fixed points, index, and degree for some set valued functions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 171)

Keywords

  • Convex Subset
  • Fixed Point Theory
  • Point Property
  • Topological Degree
  • Compact Convex Subset

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Bibliography

  1. H. Bell and P. Frederickson, On topological degree on the two sphere. To appear.

    Google Scholar 

  2. R. H. Bing, The elusive fixed point property, Amer. Math. Monthly, Vol. 76, Number 2, February 1969.

    Google Scholar 

  3. K. Borsuk, Sur un continu acyclique qui se laisse transformer topologiquent et lui même sans points invariants, Fund. Math. 24, (1935) pp. 51–58.

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  4. J. Cronin, Fixed points and topological degree in non-linear analysis. A.M.S. Mathematical Surveys, Number 11, 1964.

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  5. S. Eilenberg and D. Montgomery, Fixed point theorems for multivalued transformations, Amer. J. Math. 68 (1946) pp. 214–222.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. O. H. Hamilton, Fixed points for certain noncontinuous transformations. A.M.S. Proceedings, Vol. 8, 1957, pp. 750–756.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. S. Kakutani, A generalization of Brouwer's fixed-point theorem, Duke Math. J. 8 (1941) pp. 457–459.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. C. J. Titus and G. S. Young, The extension of interiority with some applications. Trans. Amer. Math. Soc. 103 (1962) pp. 329–340.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. G. T. Whyburn, Analytic topology. A.M.S. Colloquium Publications, Vol. XXVIII, 1940.

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© 1970 Springer-Verleg

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Bell, H. (1970). Fixed points, index, and degree for some set valued functions. In: Fleischman, W.M. (eds) Set-Valued Mappings, Selections and Topological Properties of 2x . Lecture Notes in Mathematics, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069711

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  • DOI: https://doi.org/10.1007/BFb0069711

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05293-7

  • Online ISBN: 978-3-540-36419-1

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