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

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Set-Valued Mappings, Selections and Topological Properties of 2x

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

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Bibliography

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

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

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  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.

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

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W. M. Fleischman

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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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