[PDF] Top 20 Symmetric duality for a higher order nondifferentiable multiobjective programming problem

... type higher-order multiobjective nondifferentiable symmetric dual program have been formulated and we established weak, strong, and con- verse duality theorems under K -F convexity ... See full document

... A multiobjective variational problem involving higher order derivatives is considered and optimality condi- tions for this problem are ...this problem is constructed and various ... See full document

... the higher-order ( V , , , , α β ρ d ) -invexity. Three duality models for a multiobjective fractional programming problem involving nondifferen- tiability in terms of support ... See full document

... the nondifferentiable minimax programming problem ( P  ) , and formulated a unified higher-order dual of (P  ) , and established weak, strong and strict converse duality theo- ... See full document

... type higher-order symmetric nondifferentiable multiobjective programs over arbitrary cones is formulated and appropriate duality relations are then established under ... See full document

... a symmetric dual for multiobjective fractional variational programs in second order ...converse duality as well as self duality relations ...converse duality theorems. The weak ... See full document

... of symmetric duality in nonlinear programming, in which the dual of the dual is the primal, was first introduced by Dorn ...discussed symmetric dual programs and established a symmetric ... See full document

... A higher-order dual for a non-differentiable minimax fractional programming problem is ...generalized higher-order η -convexity assumptions on the functions involved, weak, strong ... See full document

... nonlinear programming was first introduced by Hanson and Mond ...second order (F, ρ)-convex functions and proved duality results for Mangasarian type and Mond-Weir type multiobjective dual ... See full document

... second order symmetric primal and dual problems in mathemati- cal ...strong duality theorems were established under second order F-convexity assump- ...tions. Symmetric minimax mixed ... See full document

... of nondifferentiable multiobjective fractional pro-gramming ...of higher-order (F, a, r, d)-convexity, which extends some kinds of general- ized convexity, such as second order ... See full document

... and duality results have been obtained for multiobjective fractional programming ...[], multiobjective fractional problem and its duality theorems have been considered under ... See full document

... introduced symmetric duality in nonlinear programming by defining a pro- gram and its dual to be symmetric if the dual of the dual is the original ...The symmetric duality for ... See full document

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

... a nondifferentiable multiobjective variational prob- lem are ...second-order nondifferentiable multiobjective dual variational problems is ...Various duality results for the pair ... See full document

... fractional programming has wide ...fractional programming problems appear in formulation of discrete and continuous rational approx- imation problems with respect to the Chebyshev norm [], continuous ... See full document

... After Schmitendorf [], who derived necessary and sufficient optimality conditions for static minimax problems, much attention has been paid to optimality conditions and du- ality theorems for minimax fractional ... See full document

... and duality for G-multi-objective programming ...differentiable multiobjective programming problems with both inequality and equality ... See full document

... the problem and then establish weak, strong, and strict converse duality theorems for the problem and its dual problem under B -( p , r )-invexity ... See full document