[PDF] Top 20 On Second Order Duality in Nondifferentiable Continuous Programming

... Second-order duality in mathematical programming has been extensively investigated in the ...formulated second order dual for a constrained variational problem and established ... See full document

... introduced second-order h-invex function for multiobjective fractional programming problem and established weak and strong dua- lity ...of nondifferentiable multiobjective frac- tional ... See full document

... and duality results have been obtained for multiobjective fractional programming ...its duality theorems have been considered under higher-order (F, α, ρ, d)- ...their duality theorems ... See full document

... converse duality theorems under generalized higher-order η-convexity ...of second-order duality results of Hu, Chen and Jian [] to a class of higher-order duality and it ... See full document

... the duality results, which were extended to a frac- tional analogue of the problem considered in [, ] by several authors ...the second-order duality theorems for a minimax programming ... See full document

... multiobjective programming problems is ...of order σ , ( B ϕ ) − − V type II for nondifferentiable locally Lipschitz functions using the tools of Clarke ...strong duality theorems are ... See full document

... of order σ with respect to a nonlinear function for the multiobjective programming ...of order σ for (P) with respect to a nonlinear function ψ : X × X → R n if there exists a constant c ∈ int R ... See full document

... multiobjective programming, also known as vector programming, has grown remarkably in different directions in the setting of optimality conditions and dual- ity ...of continuous time ... See full document

... mathematical programming including the analysis of stability, sufficient optimality conditions and ...nonlinear programming problems can be solved efficiently. In order to treat many practical problems, ... See full document

... non-differentiable second order symmetric primal and dual problems in mathemati- cal ...strong duality theorems were established under second order F-convexity assump- ...The ... See full document

... converse duality as well as self duality relations ...converse duality theorems. The weak duality theorems involves efficient solutions ... See full document

... be continuous on the time interval [, T ...of continuous-time linear fractional programming ...strong duality theorem for the parametric formulation of continuous-time lin- ear ... See full document

... multiobjective programming and discussed their corrective ...formulated second-order multiobjective sym- metric dual programs with cone constraints and established duality results under ... See full document

... symmetric duality in nonlinear programming, in which the dual of the dual is the primal, was first introduced by Dorn ...symmetric duality under the convexity-concavity ...providing continuous ... See full document

... the duality theorems for convex minimax pro- gramming problems considered by Weir [3] and relaxed the convexity assumptions in the sufficient optimality of ...generalized second-order type I ... See full document

... converse duality theorems under generalized convexity type ...the second-order duality results developed in [] hold for nondifferentiable minimax fractional programming ...a ... See full document

... In the present paper, a pair of Wolfe type higher-order multiobjective nondifferentiable symmetric dual program have been formulated and we established weak, strong, and con- verse duality theorems under K ... See full document

... of nondifferentiable dual variational problems with natural boundary values rather than fixed end ...for duality theo- rems for this pair of dual problems is omitted as they follow immediately on the basis ... See full document

... derived duality theorems for three different dual models under (F, ρ)-convexity/invexity ...for nondifferentiable case among the models considered in [3, 5] and proved duality relations involving ... See full document

... The purpose of this research is to present multiobjec- tive version of the nondifferentiable variational problems considered in [2,4] and study various duality in terms of efficient solutions. The ... See full document