Second-Order Duality for Continuous Programming Containing Support Functions
Iqbal Husain, Mashoob Masoodi
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DOI: 10.4236/am.2010.16071   PDF   HTML     5,308 Downloads   9,572 Views   Citations

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.

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I. Husain and M. Masoodi, "Second-Order Duality for Continuous Programming Containing Support Functions," Applied Mathematics, Vol. 1 No. 6, 2010, pp. 534-541. doi: 10.4236/am.2010.16071.

Conflicts of Interest

The authors declare no conflicts of interest.

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