Second- and higher-order generalised invexity and duality in mathematical programming Online publication date: Mon, 31-Mar-2014
by S.K. Padhan; C. Nahak
International Journal of Mathematics in Operational Research (IJMOR), Vol. 5, No. 2, 2013
Abstract: We have introduced the second- and higher-order generalised invex functions and applied it to mathematical programming problems. Also, we have established many duality relations (weak, strong and converse duality) between the non-linear primal problem and their corresponding second- and higher-order dual problems. By taking different examples, we have shown, that second-order duality gives tighter bound than first-order duality. It has also been observed that the higher-order duality gives tighter bound than first- and second-order duality.
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