Optimality in Non Smooth Multi-Objective Fractional Programming with (ρ, B)-Invexity and its Generalizations


  • MVGR College of Engineering, Department of Mathematics, Vizianagaram, 535005, India


A number of necessary and sufficient optimality conditions are obtained for non smooth non-linear multiobjective fractional programming under (ρ; b)-invexity and its generalizations. Our results apparently generalize a fairly large number of optimality results previously obtained for finite dimensional non-linear programming problems under various convexity assumptions.


Multiobjective Fractional Programming, Parametrization Technique, (ρ; B)-invexity, Generalized (ρ; B)-invexity.

Subject Discipline

Mathematical Sciences

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