Fenchel-Rockafellar type duality for a non-convex non-differential optimization problem |
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| Authors: | P Kanniappan |
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| Affiliation: | 1. School of Mathematical Sciences, Madurai Kamaraj University, Madurai-625 021, Tamil Nadu, India;2. Department of Mathematics, Gandhigram Rural University, Gandhigram-624302, Madurai District, India |
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| Abstract: | A Fenchel-Rockafellar type duality theorem is obtained for a non-convex and non-differentiable maximization problem by embedding the original problem in a family of perturbed problems. The recent results of Ivan Singer are developed in this more general framework. A relationship is also established between the solutions and optimal values of the primal and dual problems using the theory of subdifferential calculus. |
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