Optimality Conditions for the Difference of Convex Set-Valued Mappings

Optimality Conditions for the Difference of Convex Set-Valued Mappings Using the concept of subdifferential of cone-convex set valued mappings recently introduced by Baier and Jahn J. Optimiz. Theory Appl. 100 (1999), 233–240, we give necessary optimality conditions for nonconvex multiobjective optimization problems. An example illustrating the usefulness of our results is also given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Optimality Conditions for the Difference of Convex Set-Valued Mappings

Positivity , Volume 9 (4) – Jan 1, 2005
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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2005 by Springer
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-005-2786-8
Publisher site
See Article on Publisher Site

Abstract

Using the concept of subdifferential of cone-convex set valued mappings recently introduced by Baier and Jahn J. Optimiz. Theory Appl. 100 (1999), 233–240, we give necessary optimality conditions for nonconvex multiobjective optimization problems. An example illustrating the usefulness of our results is also given.

Journal

PositivitySpringer Journals

Published: Jan 1, 2005

References

  • K-epiderivatives for set-valued functions and optimization
    Bigi, G.; Castellani, M.
  • Contingent epiderivatives and set-valued optimization
    Jahn, J.; Rauh, R.

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