[PDF] Top 20 SOME OPTIMALITY AND DUALITY RESULTS FOR AN EFFICIENT SOLUTION OF MULTIOBJECTIVE NONLINEAR FRACTIONAL PROGRAMMING PROBLEM

... necessary optimality conditions for an efficient solution of a multiobjective non-linear programming problem by taking the right differentials of the objective functions and ... See full document

... sufficient optimality theorem is given by using this characterization and E- convexity ...for multiobjective E-convex ...the multiobjective case are estab- lished under the weakened assumption of the ... See full document

... fundamental results in optimization theory for a new class of noncon- vex (not necessarily) differentiable optimization problems is the concept of E-convexity which was introduced by Youness ... See full document

... and duality results in multiobjective programming problems have attracted many researchers in recent ...efficient solution, effi- cient solution and properly efficient solution ... See full document

... and duality for non- linear programming ...sufficient optimality conditions for nonlinear programming ...and duality for multiobjective programming problems are ... See full document

... a nonlinear function for a multiobjective optimization ...new solution concept, we present certain generalizations of higher-order strong invexity ...Sufficient optimality conditions ... See full document

... The purpose of this research is to present multiobjec- tive version of the nondifferentiable variational problems considered in [2,4] and study various duality in terms of efficient solutions. The ... See full document

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

... Several nonlinear analysis problems arise from areas of optimization theory, game theory, dif- ferential equations, mathematical physics, convex analysis and nonlinear functional ...of nonlinear ... See full document

... develop optimality con- ditions for differentiable multiobjective programming problems with both inequality and equality constraints and established the so-called G-Karush-Kuhn-Tucker necessary opti- ... See full document

... for multiobjective fractional variational programs in second ...converse duality as well as self duality relations ...properly efficient solutions in strong and converse duality ... See full document

... A multiobjective problem is a problem where two or more objective functions are to be minimized on an implicitly constrained feasible ...a problem for optimality conditions and ... See full document

... Symmetric duality in nonlinear programming in which the dual of the dual is the pri- mal was introduced by Dorn ...symmetric duality was developed sig- nificantly by Dantzig et ...dual ... See full document

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

... in fractional vector optimization ...of fractional vector optimization problems ...efficient optimality of differentiable multiobjective programming under a constraint ...Singh’s ... See full document

... study some of its important properties. Then, we establish optimality conditions for a nonlinear fractional multiple objective programming problem (VFP) involving weaker ... See full document

... sufficient optimality conditions for a class of nonsmooth semi-infinite minmax programming ...Sufficient optimality conditions and Mond-Weir duality results were obtained for nonsmooth ... See full document

... nonsmooth multiobjective programming with inequality and equality ...this problem. In Section , necessary and suffi- cient optimality theorems are established for a strict minimizer of order m ... 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

... In this work, we discussed a fuzzy semi-infinite optimization problem, by considering that the minimum of the objective function is fuzzy ( min). The Fritz-John conditions and the constraint qualification are ... See full document