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  • 2005-2009
  • 1995-1999
  • 1985-1989  (2)
  • Vector-valued optimization  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Some minimax problems of vector-valued functions (1988)
    Springer
    Journal of optimization theory and applications 59 (1988), S. 505-524 
    Details
    ISSN: 1573-2878
    Keywords: Vector-valued optimization ; weak cone saddle points ; weak cone saddle values ; minimax problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The concepts of cone extreme points, cone saddle points, and cone saddle values are introduced. The relation of inclusion among the sets mini x∈X max y∈Y f(x, y), maxi y∈Y min x∈X f(x, y), and the set of all weak cone saddle values is investigated in the case where the image space ℝ n off is ordered by an acute convex cone.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00940312
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Existence theorems for cone saddle points of vector-valued functions in infinite-dimensional spaces (1989)
    Springer
    Journal of optimization theory and applications 62 (1989), S. 127-138 
    Details
    ISSN: 1573-2878
    Keywords: Vector-valued optimization ; minimax points ; maximin points ; cone saddle points ; minimax problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For vector-valued functions, cone saddle points are defined, and some existence theorems for them are established in infinite-dimensional spaces. Most of our results rely on Condition 2.1, which has been given by Sterna-Karwat. In particular, it shows that the scalarization of vector-valued functions plays an important role for the condition. Some interesting examples in infinite-dimensional spaces are presented. Moreover, necessary conditions for the existence of cone saddle points are investigated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939633
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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