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On Second-Order Duality in Nondifferentiable Continuous Programming
Department of Mathematics, Jaypee University of Engineering and Technology, Guna (M.P), India
Department of Mathematics, Jaypee University of Engineering and Technology, Guna (M.P), India
- 1 Department of Mathematics, Jaypee University of Engineering and Technology, Guna (M.P), India
- 2 Department of Mathematics, Jaypee University of Engineering and Technology, Guna (M.P), India
American Journal of Operations Research·Volume 02 (2012)·Pages 289–295·Published 18 September 2012·DOI10.4236/ajor.2012.23035
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Abstract
A Mond-Weir type second-order dual continuous programming problem associated with a class of nondifferentiable continuous programming problems is formulated. Under second-order pseudo-invexity and second-order quasi-invexity various duality theorems are established for this pair of dual continuous programming problems. A pair of dual continuous programming problems with natural boundary values is constructed and the proofs of its various duality results are briefly outlined. Further, it is shown that our results can be regarded as dynamic generalizations of corresponding (static) second-order duality theorems for a class of nondifferentiable nonlinear programming problems already studied in the literature.
KeywordsContinuous ProgrammingSecond-Order InvexitySecond-Order PseudoinvexitySecond-Order Quasi-InvexitySecond-Order DualityNonlinear Programming
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