0 and b>0 such that f(b)>a and b>f(b). It is shown that any function from Rn to Rn satisfying these properties has a unique positive fixed point. (Copyright: Elsevier)
(This abstract was borrowed from another version of this item.)"> 0 and b>0 such that f(b)>a and b>f(b). It is shown that any function from Rn to Rn satisfying these properties has a unique positive fixed point. (Copyright: Elsevier)
(This abstract was borrowed from another version of this item.)"> 0 and b>0 su">
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Uniqueness of positive fixed points for increasing concave functions on Rn : an elementary result

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  • Kennan,J.

    (University of Wisconsin-Madison, Social Systems Research Institute)

Abstract
The square root function has a unique positive fixed point. This function has the following properties: it is strictly increasing and strictly concave, with f(0)=0, and there are points a>0 and b>0 such that f(b)>a and b>f(b). It is shown that any function from Rn to Rn satisfying these properties has a unique positive fixed point. (Copyright: Elsevier)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Kennan,J., 2001. "Uniqueness of positive fixed points for increasing concave functions on Rn : an elementary result," Working papers 2, Wisconsin Madison - Social Systems.
    • Handle: RePEc:att:wimass:20012
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    File URL: http://www.ssc.wisc.edu/~jkennan/research/FixedPoint21.pdf
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    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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