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  • 1
    Electronic Resource
    Electronic Resource
    Optimality conditions for set-valued optimization problems (1998)
    Springer
    Mathematical methods of operations research 48 (1998), S. 187-200 
    Details
    ISSN: 1432-5217
    Keywords: Key words: Set-valued optimization ; generalized contingent epiderivative ; optimality conditions ; subgradient
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract. The generalized contingent epiderivative of set-valued maps is introduced in this paper and its relationship to the contingent epiderivative is investigated. A unified necessary and sufficient optimality condition is derived in terms of the generalized contingent epiderivative. The existence of weak subgradients of set-valued maps is proved, and a sufficient optimality condition of set-valued optimization problems is obtained in terms of weak subgradients.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s001860050021
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A Bicriterial Optimization Problem of Antenna Design (1997)
    Springer
    Computational optimization and applications 7 (1997), S. 261-276 
    Details
    ISSN: 1573-2894
    Keywords: multiobjective optimization ; antenna theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract In this paper we consider a special optimization problem withtwo objectives which arises in antenna theory. It is shown that thisabstract bicriterial optimization problem has at least one solution.Discretized versions of this problem are also discussed, and therelationships between these finite dimensional problems and the infinitedimensional problem are investigated. Moreover, we presentnumerical results for special parameters using a multiobjectiveoptimization method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008611827855
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    Paper (German National Licenses)
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