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  • 1
    Electronic Resource
    Electronic Resource
    Fixed point theorems for discontinuous mapping (1991)
    Springer
    Mathematical programming 51 (1991), S. 257-267 
    Details
    ISSN: 1436-4646
    Keywords: Fixed points ; discontinuous mappings ; artificial neural nets ; economic equilibria
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We prove a generalization of Brouwer's famous fixed point theorem to discontinuous maps. The main result shows that for discontinuous functions on a compact convex domainX one can always find a pointx ∈X such that ∥x−f(x)∥ is less than a certain measure of discontinuity. Applications to artificial neural nets, economic equilibria and analysis are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01586937
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