First and second order optimality conditions in set optimization

V. Kalashnikov (), B. Jadamba () and A. A. Khan ()
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V. Kalashnikov: Centro de Calidad ITESM
B. Jadamba: Michigan Technological University
A. A. Khan: University of Wisconsin

A chapter in Optimization with Multivalued Mappings, 2006, pp 265-276 from Springer

Abstract: Summary By using the second order asymptotic cone two epiderivatives for set-valued maps are proposed and employed to obtain second order necessary optimality conditions in set optimization. These conditions extend some known results in optimization.

Keywords: Set optimization; weak minimality; second order epiderivatives; second order asymptotic cone; optimality conditions (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/0-387-34221-4_13

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