Optimality conditions for a d.c. set-valued problem via the extremal principle

N. Gadhi ()
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N. Gadhi: Faculté des Sciences Dhar-Mahraz

A chapter in Optimization with Multivalued Mappings, 2006, pp 251-264 from Springer

Abstract: Summary Set-valued optimization is known as a useful mathematical model for investigating some real world problems with conflicting objectives, arising from economics, engineering and human decision-making. Using an extremal principle introduced by Mordukhovich, we establish optimality conditions for D.C. ( difference of convex ) set-valued optimization problems. An application to vector fractional mathematical programming is also given.

Keywords: Extremal principle; Fréchet normal cone; Cone-convex set-valued mappings; Optimality conditions; Support function; Set-valued optimization (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-34221-4_12

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DOI: 10.1007/0-387-34221-4_12

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