[PDF] Top 20 Optimality and duality results for a nondifferentiable multiobjective fractional programming problem

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

... generalized fractional programming problems containing ρ-convex func- tions have been established by Zalmai ...these optimality criteria as a basis for constructing two parametric and four ... See full document

... the problem under consideration is multiobjective non-linear fractional programming problem involving semilocally convex and related ...of multiobjective fractional ... See full document

... sufficient optimality conditions are obtained for nondifferentiable multiobjec- tive problems without the need of a constraint ...some duality results without the need of a constraint qualification and ... See full document

... establish optimality conditions for a nonlinear fractional multiple objective programming problem (VFP) involving weaker E-h-semidifferentiable func- ...and duality results are ... See full document

... sufficient optimality conditions and duality theorems for a nondifferentiable minimax fractional programming problem with B-(p, ...sufficient optimality conditions. ... See full document

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

... This problem was considered previously in the companion paper [7] where a survey of currently available optimality and duality results for minmax fractional susbset pro- gramming ... See full document

... differentiable multiobjective programming ...established optimality conditions and duality results in nonsmooth scalar programming assuming Clarke’s generalized subgradients under ... See full document

... various optimality and duality results have been obtained for multiobjective fractional programming ...[4], multiobjective fractional problem and its ... See full document

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

... semi-infinite programming problem--the optimization of an objective function in finitely many variables over a feasible region defined by an infinite number of constraints, since this model arises in a ... See full document

... weak duality invexity. In 2, Ben-Israel and Mond presented some new results for invex ...type optimality conditions for cone invex programs, and Jeyakumar and Mond 6 introduced the class of the ... See full document

... nonlinear programming problems is an interesting research topic for recent researchers in the field of mathematical ...nonlinear programming is to be maximized or minimized ratio of two ...developing ... See full document

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

... type optimality conditions for a nondifferentiable multiobjective variational prob- lem are ...type optimality conditions, Mond-weir type second-order nondifferentiable ... See full document

... to optimality conditions and duality theorems for the minimax fractional programming ...minimax fractional programming, Yadav and Mukherjee [] formulated two dual models for the ... See full document

... the results in Kim and Schaible 6 for this problem to nonsmooth multiobjective programming problem involving support ...nonsmooth multiobjective programming problems ... See full document

... s results to any extended real-valued function f, any subset S and encompassing strict minimi- zers of order greater than ...in nondifferentiable scalar programs are studied by Ward ... 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 ...usual duality ... See full document