Geodesic
Optimality and duality in multiobjective programming involving support functions
Gupta, Rekha1 ; Srivastava, Manjari2
1 Department of Mathematics, University of Delhi 110007 Delhi, India
2 Department of Mathematics, Miranda House, University of Delhi 110007 Delhi, India
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 2, pp. 433-446

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In this paper a vector optimization problem (VOP) is considered where each component of objective and constraint function involves a term containing support function of a compact convex set. Weak and strong Kuhn−Tucker necessary optimality conditions for the problem are obtained under suitable constraint qualifications. Necessary and sufficient conditions are proved for a critical point to be a weak efficient or an efficient solution of the problem (VOP) assuming that the functions belong to different classes of pseudoinvex functions. Two Mond Weir type dual problems are considered for (VOP) and duality results are established.

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DOI : 10.1051/ro/2016039
Classification : 90C26, 90C29, 90C46
Keywords: Generalized invexity, multiobjective programming support functions, optimality conditions, Duality

Gupta, Rekha 1 ; Srivastava, Manjari 2

1 Department of Mathematics, University of Delhi 110007 Delhi, India
2 Department of Mathematics, Miranda House, University of Delhi 110007 Delhi, India 
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     title = {Optimality and duality in multiobjective programming involving support functions},
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Gupta, Rekha; Srivastava, Manjari. Optimality and duality in multiobjective programming involving support functions. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 2, pp. 433-446. doi: 10.1051/ro/2016039

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