[PDF] Top 20 Higher order symmetric duality for a class of multiobjective fractional programming problems

... 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 F-convexity ... See full document

... new class of noncon- vex (not necessarily) differentiable optimization problems is the concept of E-convexity which was introduced by Youness ...optimization problems with both inequality and equality ... See full document

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

... a class of nondifferentiable multiobjective fractional programming problems in which every component of objective functions contains a term involving the support function of a compact ... 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

... on symmetric du- ality in multiobjective programming and discussed their corrective ...second-order multiobjective sym- metric dual programs with cone constraints and established ... See full document

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

... and duality results in multiobjective programming problems have attracted many researchers in recent ...of multiobjective optimization ...is higher order strict minimizer ... See full document

... In order to approve the sufficient optimality conditions holding for problem (FP) and duality theorems holding with respect to primal problem (FP), the following definitions of (F, α, ρ, d)-V-type I functions ... See full document

... and duality for non- linear programming ...and duality for multiobjective programming problems are discussed in [14], and inseparable Hilbert spaces are studied by ... See full document

... mixed-type duality has been extended to the class of multiobjective frac- tional variational control ...of duality relations are proved to relate the e ffi cient solutions of the primal and its ... See full document

... a class of nonsmooth semi-infinite minmax programming ...Mond-Weir duality results were obtained for nonsmooth multiobjective programming ...is higher order strict ...and ... See full document

... minimax fractional programming has wide ...of problems arise in the design of electronic circuits; moreover, minimax fractional programming problems appear in formulation of ... 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 ... See full document

... a higher-order dual of (P) and establish weak, strong and strict converse duality theorems under generalized higher-order η-convexity ...second-order duality results of ... See full document

... state duality theorems for (MFP*) and (MFD*) which lead to corresponding relations between (MFP) and (MFD) ...converse duality as well as self- duality +relations between (MFP*)and ... See full document

... of programming problem, there has been a growing interest in the higher-order dual problem and a lot of related generalized convexities are ...a higher-order duality for minimax ... See full document

... wider class of variational problem in which the arc function is twice differentiable by extending the notion of invexity given in ...various duality results for Wolfe and Mond and Weir type ... See full document

... 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

... of symmetric dual programs, in which the dual of the dual equals the primal, was introduced and developed in, ...of symmetric dual programs with a square root ...discussed symmetric duality in ... See full document