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

In: Optimization with Multivalued Mappings

Author

Listed:
  • N. Gadhi

    (Faculté des Sciences Dhar-Mahraz)

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.

Suggested Citation

  • N. Gadhi, 2006. "Optimality conditions for a d.c. set-valued problem via the extremal principle," Springer Optimization and Its Applications, in: Stephan Dempe & Vyacheslav Kalashnikov (ed.), Optimization with Multivalued Mappings, pages 251-264, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-34221-4_12
    DOI: 10.1007/0-387-34221-4_12
    as

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