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Optimality and duality for multiobjective fractional programming problems with \(n\)-set functions and generalized \(V\)-type-\(I\) univexity. (English) Zbl 1289.90176
Summary: We study optimality conditions and generalized Mond-Weir duality for multiobjective fractional programming involving \(n\)-set functions which satisfy appropriate generalized \(V\)-type-\(I\) univexity conditions. Our results generalize to fractional programming those obtained by V. Preda, I. M. Stancu-Minasian, Miruna Beldiman and Andreea Mădălina Stancu [J. Glob. Optim. 44, No. 1, 131–148 (2009; Zbl 1180.90296)].

MSC:
90C29 Multi-objective and goal programming
90C32 Fractional programming
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