On Second-Order Duality in Nondifferentiable Continuous Programming
On Second-Order Duality in Nondifferentiable Continuous Programming作者机构:Department of Mathematics Jaypee University of Engineering and Technology Guna (M.P) India
出 版 物:《American Journal of Operations Research》 (美国运筹学期刊(英文))
年 卷 期:2012年第2卷第3期
页 面:289-295页
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:Continuous Programming Second-Order Invexity Second-Order Pseudoinvexity Second-Order Quasi-Invexity Second-Order Duality Nonlinear Programming
摘 要: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.