Optimality Conditions and Second-Order Duality for Nondifferentiable Multiobjective Continuous Programming Problems
Optimality Conditions and Second-Order Duality for Nondifferentiable Multiobjective Continuous Programming Problems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4期
页 面：536-545页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Nondifferentiable Multiobjective Programming Second-Order Invexity Second-Order Pseudoinvexity Second-Order Quasi-Invexity Second-Order Duality Nonlinear Multiobjective Programming
摘 要：Fritz John and Karush-Kuhn-Tucker type optimality conditions for a nondifferentiable multiobjective variational problem are derived. As an application of Karush-Kuhn-Tucker type optimality conditions, Mond-weir type second-order nondifferentiable multiobjective dual variational problems is constructed. Various duality results for the pair of Mond-Weir type second-order dual variational problems are proved under second-order pseudoinvexity and second-order quasi-invexity. A pair of Mond-Weir type dual variational problems with natural boundary values is formulated to derive various duality results. Finally, it is pointed out that our results can be considered as dynamic generalizations of their static counterparts existing in the literature.
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