Optimality and Duality for an Efficient Solution of Multiobjective Nonlinear Fractional Programming Problem Involving Semilocally Convex Functions

In this paper the problem under consideration is multiobjective non-linear fractionalprogramming problem involving semilocally convex and related functions. we havediscussed the interrelation between the solution sets involving properly efficient solutions ofmultiobjective fractional programming and corresponding scalar fractional programmingproblem. necessary and sufficient optimality conditions are obtained for efficient andproperly efficient solutions. some duality results are established for multiobjective schaibletype dual.