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Sufficiency and duality for nonsmooth multiobjective fractional programming problems involving $$(\Phi ,\rho ,\alpha )$$ ( Φ , ρ , α ) -V-invexity

Crossref DOI link: https://doi.org/10.1007/s12190-015-0929-z

Published Online: 2015-09-15

Published Print: 2016-10

Update policy: https://doi.org/10.1007/springer_crossmark_policy