Second-order duality for the variational problems |
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Authors: | Xiuhong Chen |
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Affiliation: | Department of Mathematics, Huaiyin Teachers' College, Jiangsu 223001, PR China |
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Abstract: | A dual problem associated with a class of variational problems is formulated that involves second derivatives of the functions. Under the invexity assumptions on the functions that compose the primal problems, second-order duality results (weak duality, strong duality and converse duality) are derived for this pair of problems. |
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