[PDF] Top 20 Sufficiency and Wolfe Type Duality for Nonsmooth Multiobjective Programming Problems

... of multiobjective programming, also called vector programming, has grown remarkably in different directions in the settings of optimality conditions and duality theory since the ...for ... See full document

... of nonsmooth multiobjective programming ...Mond-Weir type dual problem and establish weak and strong duality theorems for a strict minimizer of order ... See full document

... the Wolfe-type dual problem for the MPEC under the convexity assump- ...weak duality the- orems were given to relate the MPEC and two dual programs in Banach space, ...strong duality theorems ... See full document

... various problems appearing in dynamics of rigid bodies, optimization of orbits, theory of variations and many other ...simple type of unconstrained variational ...the duality results of mathematical ... See full document

... tive programming problem and discussed Wolfe type and Mond-Weir type duality ...and duality theorems for non-smooth multiobjective programming problems in- ... See full document

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

... Mond-Weir type nondifferen- tiable multiobjective programming problems and established usual duality results under higher-order F-convexity ...proved duality theorems for a pair ... See full document

... optimization problems is the concept of E-convexity which was introduced by Youness ...and Wolfe E-duality for E-differentiable vector optimization problems with both inequality and equality ... See full document

... nondifferentiable multiobjective programs with the sup- port ...established duality theorems for nondifferentiable mul- tiobjective programming problems under generalized convexity ...the ... See full document

... decision problems with noncomparable ...anomalous type and lended itself to more satisfactory ...some duality results between primal problem and Wolfe type dual ...the duality ... See full document

... Second-order duality in mathematical programming has been extensively investigated in the ...various duality re- sults under an involved invexity-like ...Mond-Weir type second order ... See full document

... practical problems encountered in economics, engineering design, and management science, and so forth can be described only by nonsmooth functions, consequently, the theory of nonsmooth optimization ... See full document

... The concept of (F, ρ)-convexity, which was introduced by Preda [], is as an extension of F-convexity and ρ -convexity that are defined by Hanson and Mond [], and by Vial [], respectively. Gulati et al. [] defined the ... See full document

... to nonsmooth multiobjective programming problem involving support ...introduce nonsmooth multiobjective programming problems involving locally Lipschitz functions and ... See full document

... mathematical programming (G-CVP) and have discussed the relations between programming (G-CVP) and ...tive programming problems in which the objective functions, the constraints are nondif- ... See full document

... for multiobjective E-convex ...the multiobjective case are estab- lished under the weakened assumption of the theorems in Megahed et ...mixed type dual for the primal problem is ...strong ... See full document

... life problems may be put into a Lin- ear Programming framework (see ...these problems, the Decision maker has to ponder conflicting objective ...of Multiobjective Programming ...on ... See full document

... tive problems without the need of a constraint ...primal problems and then we prove some duality results without the need of a constraint qualification and ... See full document

... rived duality theorems for a nondifferentiable minimax fractional programming problem under (C, α, ρ, ...studied nonsmooth multiobjec- tive fractional programming problems in the ... See full document

... strong duality between the primal (SIVP) and the dual (SIVD), there should be further opportunities for exploiting this structure of the semi-infinite programming ... See full document