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I. Husain and M. Masoodi, “Second-Order Duality for a Class of Nondifferentiable Continuous Programming Problems,” European Journal of Pure and Applied Mathematics, 2010 (in press).

has been cited by the following article:

• TITLE: Second-Order Duality for Continuous Programming Containing Support Functions

  AUTHORS: Iqbal Husain, Mashoob Masoodi

  KEYWORDS: Continuous Programming, Second-Order Invexity, Second-Order Pseudoinvexity, Second-Order Duality, Nonlinear Programming, Support Functions, Natural Boundary Values

  JOURNAL NAME: Applied Mathematics, Vol.1 No.6, December 27, 2010

  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.