[PDF] Top 20 Efficiency and Generalized Convex Duality for Nondifferentiable Multiobjective Programs

... some duality results between primal problem and Wolfe type dual ...the duality results of Wolfe 3 for scalar convex programming problems and some of the more duality results for scalar ... See full document

... of generalized convex functions was introduced in nonlinear scalar optimization problems by Bector et ...nonlinear multiobjective programming prob- lems with univex functions to obtain new sufficient ... See full document

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

... dual programs over arbitrary cones has been studied and then well-suited duality relations have been established considering K-F convexity ...weak duality relation has also been ... See full document

... [] generalized these results to static and continuous nonlinear fractional ...the multiobjective case of static nonlinear fractional program, symmetric duality was established under convexity ... See full document

... invex programs, and Jeyakumar and Mond 6 introduced the class of the so-called V-invex functions to proved some optimality for a class of differentiable vector optimization problems than under invexity ...some ... See full document

... and duality results for multiobjective op- timization problems involving locally Lipschitz functions and type I ...nondifferentiable multiobjective programming problem and discussed duality ... See full document

... strong duality theorems were established under second order F-convexity assump- ...dual multiobjective programs over arbitrary cones. The duality theorems and the self-dual theorem were ... See full document

... nonsmooth multiobjective programming problems involving locally Lipschitz functions and support ...using generalized convexity and certain regularity ...nonsmooth multiobjective problems and ... See full document

... fractional programs with certain convexity ...for multiobjective fractional programming problem and established weak and strong dua- lity ...of nondifferentiable multiobjective frac- tional ... See full document

... It is well known that the minimax fractional programming has wide applications. These types of problems arise in the design of electronic circuits; moreover, minimax fractional programming problems appear in formulation ... See full document

... converse duality results for a parametric dual problem for (P) under appropriate (ρ, b)-vexity ...some duality relations for a nonfractional multiobjective subset programming ...are convex, ... See full document

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

... a convex function to any vector function   x x ,  ...further generalized to pseudo Type I and quasi Type I functions by Rueda and Hanson ...[7] generalized subgradients under Type I ... See full document

... Complete duality: The complete duality in the class of quasi-convex monotone maps on vector spaces was first obtained by Cerreia-Vioglio et ...complete duality proved in Drapeau and Kupper ... See full document

... of nondifferentiable continuous programming problems is ...various duality theorems are established for this pair of dual continuous programming ...various duality results are briefly ...second-order ... See full document

... non-differentiable multiobjective nonlinear programming problems where each of the objective functions contains a pair of support ...converse duality theorems are established for the model under some ... See full document

... of generalized ρ, θ-η invariant monotone operators and generalized ρ, θ-η invex functions and discuss the relationships between generalized ρ, θ-η invariant monotonicity and generalized ρ, θ-η ... 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

... for duality was relaxed and a constraint qual- ification was not ...for multiobjective programs. They defined dual problems for a convex multiobjective programming and a ... See full document