American Institute of Mathematical Sciences

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July  2007, 3(3): 415-427. doi: 10.3934/jimo.2007.3.415

Conjugate duality for generalized convex optimization problems

Anulekha Dhara 1, and  Aparna Mehra 1,

1. 

Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi-110016, India, India

Received  April 2006 Revised  October 2006 Published  July 2007

Equivalence between a constrained scalar optimization problem and its three conjugate dual models is established for the class of generalized C-subconvex functions. Applying these equivalent relations, optimality conditions in terms of conjugate functions are obtained for the constrained multiobjective optimization problem.
Keywords: generalized C-subconvex function, theorem of alternative., Nonlinear optimization problems, conjugate duality.
Mathematics Subject Classification: Primary: 90C26, 90C46; Secondary: 26B2.
Citation: Anulekha Dhara, Aparna Mehra. Conjugate duality for generalized convex optimization problems. Journal of Industrial and Management Optimization, 2007, 3 (3) : 415-427. doi: 10.3934/jimo.2007.3.415
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