| Issue |
RAIRO-Oper. Res.
Volume 51, Number 3, July-September 2017
|
|
|---|---|---|
| Page(s) | 819 - 831 | |
| DOI | https://doi.org/10.1051/ro/2016068 | |
| Published online | 27 September 2017 | |
Approximate Lagrangian duality and saddle point optimality in set optimization
1 Department of Mathematics, University of Delhi South Campus, Benito Jaurez Road, New Delhi 110021, India.
cslalitha@maths.du.ac.in
2 Department of Mathematics, University of Delhi, Delhi 110007, India.
mansidhingra7@gmail.com
∗
Corresponding author: Mansi Dhingra
Received: 1 February 2015
Accepted: 5 October 2016
In this paper, we establish approximate Lagrangian multiplier rule, Lagrangian duality and saddle point optimality for set optimization problem where the solutions are defined using set relations introduced by Kuroiwa (Kuroiwa D., The natural criteria in set-valued optimization. Su̅rikaisekikenkyu̅sho Ko̅kyu̅roku 1031 (1998) 85–90).
Mathematics Subject Classification: 49J53 / 90C46 / 90C26
Key words: Set optimization / approximate solutions / Lagrangian multiplier rule / Lagrangian duality / saddle point optimality
© EDP Sciences, ROADEF, SMAI 2017
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