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  • 1
    Electronic Resource
    Electronic Resource
    Lipschitz B-Vex Functions and Nonsmooth Programming (1997)
    Springer
    Journal of optimization theory and applications 93 (1997), S. 557-574 
    Details
    ISSN: 1573-2878
    Keywords: B-vex functions ; quasiconvex functions ; subdifferentials ; regularity ; optimality conditions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, the equivalence between the class of B-vex functions and that of quasiconvex functions is proved. Necessary and sufficient conditions, under which a locally Lipschitz function is B-vex, are established in terms of the Clarke subdifferential. Regularity of locally Lipschitz B-vex functions is discussed. Furthermore, under appropriate conditions, a necessary optimality condition of the Slater type and a sufficient optimality condition are obtained for a nonsmooth programming problem involving B-vex functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022643129733
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