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  • 1
    Electronic Resource
    Electronic Resource
    On strong pseudomonotonicity and (semi)strict quasimonotonicity (1995)
    Springer
    Journal of optimization theory and applications 85 (1995), S. 741-742 
    Details
    ISSN: 1573-2878
    Keywords: Strongly pseudoconvex functions ; strongly pseudomonotone maps
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract An example in Ref. 1 is corrected to show that indeed a strongly pseudoconvex function, which is only once but not twice differentiable, does not necessarily have a strongly pseudoconvex gradient.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02193065
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  • 2
    Electronic Resource
    Electronic Resource
    On strong pseudomonotonicity and (semi)strict quasimonotonicity (1993)
    Springer
    Journal of optimization theory and applications 79 (1993), S. 139-155 
    Details
    ISSN: 1573-2878
    Keywords: Strongly pseudoconvex functions ; (semi)strictly quasiconvex functions ; strongly pseudomonotone maps ; (semi)strictly quasimonotone maps
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract New concepts of strong pseudomonotonicity, strict quasimonotonicity, and semistrict quasimonotonicity of a map are introduced and their properties are studied. In the case of a differentiable gradient map, we show that strong pseudomonotonicity of the gradient is equivalent to strong pseudoconvexity of the underlying function. This does not hold for a different concept of strong pseudomonotonicity in Ref. 1. Analogous results are shown for strict quasimonotonicity and semistrict quasimonotonicity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00941891
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