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Under ρ−(η,θ)-invexity assumptions on the functionsinvolved, weak, strong, and converse  duality theorems are proved to relateproperly efficient solutions of the primal and dual problems for amultiobjective programming problem

journal of applied mathematics and stochastic analysis

Multiobjective duality with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\rho-(\eta, \theta)$" id="E1"><mml:mi>ρ</mml:mi><mml:mo>−</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>η</mml:mi><mml:mo>,</mml:mo><mml:mi>θ</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math>-invexity

Multiobjective duality with ρ−(η,θ)-invexity