Husain, Iqbal and Masoodi, Mashoob (2010) Second-Order Duality for Continuous Programming Containing Support Functions. Applied Mathematics, 01 (06). pp. 534-541. ISSN 2152-7385
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Abstract
A second-order dual problem is formulated for a class of continuous programming problem in which both objective and constrained functions contain support functions, hence it is nondifferentiable. Under second-order invexity and second-order pseudoinvexity, weak, strong and converse duality theorems are established for this pair of dual problems. Special cases are deduced and a pair of dual continuous problems with natural boundary values is constructed. A close relationship between duality results of our problems and those of the corresponding (static) nonlinear programming problem with support functions is briefly outlined.
Item Type: | Article |
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Subjects: | STM One > Mathematical Science |
Depositing User: | Unnamed user with email support@stmone.org |
Date Deposited: | 05 Jun 2023 05:04 |
Last Modified: | 06 Sep 2024 08:16 |
URI: | http://publications.openuniversitystm.com/id/eprint/1271 |