[PDF] Top 20 Second order duality for nondifferentiable minimax fractional programming problems with generalized convexity

... of second-order duality for nonlinear programs and obtained second-order duality results under certain ...the second-order duality results assuming rather ... 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 ... See full document

... the duality relations for different dual problems of (P) under various generalized convexity ...multiobjecive programming problems and established duality relations under ... See full document

... of nondifferentiable multiobjective fractional pro-gramming ...ized convexity, such as second order F-convexity in [15] and higher-order F -convexity in ...d)- ... 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 ...introduced generalized ... 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

... optimization problems in which the objective function is a ratio of two functions are commonly known as fractional programming ...of minimax fractional programming ...the ... See full document

... 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

... of second- and higher-order duality for nonlinear ...first-order duality as it provides tighter bounds for the value of the objective function when approximations are ... See full document

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

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

... and duality for non- linear programming ...programming problems. These functions were named invex by Craven [13]. Generalized invexity and duality for multiobjective ... 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 ...called ... See full document

... of second-order duality in nonlinear programming problems was first in- troduced by Mangasarian ...of second-order dual over first-order is that it may provide ... See full document

... in order to relax the requirement of second-order pseudoinvexity we formulate a Mond-Weir type second-order dual to a class of nondifferentiability continuous programming ... See full document

... DOI: 10.4236/apm.2018.88045 762 Advances in Pure Mathematics thermore, if all the hypothesis of Theorem 4.1 are satisfied for all feasible solu- tions of (MP) and (MD), then ( x , , λ µ ) is a strict maximizer of ... See full document

... Recently, Yang et al. 11 introduced a class of nondifferentiable multiobjective programming problems involving the support functions of compact convex sets. They established only weak duality theorems ... See full document

... parametric-type duality for multiobjective fractional programming problems concerning a generalized (F, α , ρ , d)-V-type I ...some duality theorems are proved for such ... See full document

... continuous programming have been widely investigated by many authors in the recent past, notably, Mond and Hanson [4], Bector, Chandra and Husain [5], Mond and Husain [6] and Chen [7] and other cited references in ... See full document

... usual duality theorems are estab- lished under generalized convexity ...our duality results have linkage with those of nonlinear programming problems involving support ... See full document