Geodesic
Approximate Lagrangian duality and saddle point optimality in set optimization
Lalitha, C. S.1 ; Dhingra, Mansi2
1 Department of Mathematics, University of Delhi South Campus, Benito Jaurez Road, New Delhi 110021, India.
2 Department of Mathematics, University of Delhi, Delhi 110007, India.
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 819-831

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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).

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DOI : 10.1051/ro/2016068
Classification : 49J53, 90C46, 90C26
Keywords: Set optimization, approximate solutions, Lagrangian multiplier rule, Lagrangian duality, saddle point optimality

Lalitha, C. S. 1 ; Dhingra, Mansi 2

1 Department of Mathematics, University of Delhi South Campus, Benito Jaurez Road, New Delhi 110021, India.
2 Department of Mathematics, University of Delhi, Delhi 110007, India. 
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     title = {Approximate {Lagrangian} duality and saddle point optimality in set optimization},
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Lalitha, C. S.; Dhingra, Mansi. Approximate Lagrangian duality and saddle point optimality in set optimization. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 819-831. doi: 10.1051/ro/2016068

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