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  • 1
    Electronic Resource
    Electronic Resource
    A general cone decomposition theory based on efficiency (1994)
    Springer
    Mathematical programming 65 (1994), S. 1-20 
    Details
    ISSN: 1436-4646
    Keywords: Efficient decomposition ; Moreau decomposition ; partially ordered vector spaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract LetK 1 andK 2 be two convex cones in some common vector space. This paper is concerned with the question of finding a ‘good’ decomposition, with respect toK 1 andK 2, of a given element of the Minkowski sumK 1 +K 2. We propose the criterion of efficiency as a measure for the quality of a decomposition. This criterion allows us to set up a framework from which a general cone decomposition theory is then derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01581687
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Characterization of R-Evenly Quasiconvex Functions (1997)
    Springer
    Journal of optimization theory and applications 95 (1997), S. 717-722 
    Details
    ISSN: 1573-2878
    Keywords: Quasiconvex functions ; duality ; generalized conjugation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A function defined on a locally convex space is called evenly quasiconvex if its level sets are intersections of families of open half-spaces. Furthermore, if the closures of these open halfspaces do not contain the origin, then the function is called R-evenly quasiconvex. In this note, R-evenly quasiconvex functions are characterized as those evenly-quasiconvex functions that satisfy a certain simple relation with their lower semicontinuous hulls.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022690326118
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    Paper (German National Licenses)
    Fulltext
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