The Journal of the Indian Mathematical Society

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


Affiliations
1 Department of Mathematics, MVGR College of Engineering, Vizianagaram-535005, India
     

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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.

Keywords

Multiobjective Fractional Programming, Parametrization Technique, (ρ; B)-invexity, Generalized (ρ; B)-invexity.
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  • Optimality in Non Smooth Multi-Objective Fractional Programming with (ρ, B)-Invexity and its Generalizations

Abstract Views: 253  |  PDF Views: 0

Authors

Ch. Purnachandra Rao
Department of Mathematics, MVGR College of Engineering, Vizianagaram-535005, India

Abstract


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.

Keywords


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