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First and second order optimality conditions in set optimization

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Optimization with Multivalued Mappings

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 2))

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.

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Author information

Authors and Affiliations

  1. Departamento de Ingenieria Industrial y de Sistemas, Centro de Calidad ITESM, Campus Monterrey Ave. Eugenio Garza Sada 2501, Sur Monterrey N.L., Mexico, 64849

    V. Kalashnikov

  2. Department of Mathematical Sciences, Michigan Technological University, 1400 Townsend Drive, Houghton, MI, 49931-1295, USA

    B. Jadamba

  3. Department of Mathematics, University of Wisconsin, 1800 College Drive, Rice Lake, WI, 54868, USA

    A. A. Khan

Authors
  1. V. Kalashnikov
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  2. B. Jadamba
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  3. A. A. Khan
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Editor information

Editors and Affiliations

  1. TU Bergakademie Freiberg, Germany

    Stephan Dempe

  2. ITESM, Monterrey, Mexico

    Vyacheslav Kalashnikov

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© 2006 Springer Science + Business Media, LLC

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Kalashnikov, V., Jadamba, B., Khan, A.A. (2006). First and second order optimality conditions in set optimization. In: Dempe, S., Kalashnikov, V. (eds) Optimization with Multivalued Mappings. Springer Optimization and Its Applications, vol 2. Springer, Boston, MA . https://doi.org/10.1007/0-387-34221-4_13

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