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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical programming 6 (1974), S. 229-233 
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract A particular case of a mathematical theorem of F. Browder on the behavior of the fixed point set of a mapping under variations of a parameter has recently found applications in programming theory in connection with the abstract (non-linear) complementarity problem (see Eaves, [2, 3]). Two relevant extensions of Browder's result are provided: The first asserts that, under smoothness assumptions, the connected set of fixed points one gets from Browder's theorem is “generically” an arc; the second gives a generalization to the case where the mapping is an upper hemicontinuous contractible valued correspondence.
    Type of Medium: Electronic Resource
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