منابع مشابه
Second Order Duality in Multiobjective Programming
A nonlinear multiobjective programming problem is considered. Weak, strong and strict converse duality theorems are established under generalized second order (F, α, ρ, d)-convexity for second order Mangasarian type and general Mond-Weir type vector duals.
متن کاملNondifferentiable second order symmetric duality in multiobjective programming
A pair of Mond–Weir type nondifferentiable multiobjective second order symmetric dual programs is formulated and symmetric duality theorems are established under the assumptions of second order F-pseudoconvexity/ F-pseudoconcavity. © 2005 Elsevier Ltd. All rights reserved.
متن کاملMixed symmetric duality in non-differentiable multiobjective mathematical programming
Two mixed symmetric dual models for a class of non-differentiable multiobjective nonlinear programming problems with multiple arguments are introduced in this paper. These two mixed symmetric dual models unify the four existing multiobjective symmetric dual models in the literature. Weak and strong duality theorems are established for these models under some mild assumptions of generalized conv...
متن کاملEfficiency and Duality in Nondifferentiable Multiobjective Programming Involving Directional Derivative
In this paper, we introduce a new class of generalized dI-univexity in which each component of the objective and constraint functions is directionally differentiable in its own direction di for a nondifferentiable multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established for a feasible point to be efficient and properly efficien...
متن کاملSecond order symmetric duality in nondifferentiable multiobjective programming
A pair of Mond–Weir type second order symmetric nondifferentiable multiobjective programs is formulated. Weak, strong and converse duality theorems are established under g-pseudobonvexity assumptions. Special cases are discussed to show that this paper extends some work appeared in this area. 2004 Elsevier Inc. All rights reserved.
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ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 1978
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.14.673