Optimality and Duality for Weak Quasi Efficiency of Multiobjective Fractional Problems via Convexificators
Keywords:
Multiobjiective fractional problem, local weak quasi-efficient solution, Fritz John and Kuhn-Tucker efficiency conditions.Abstract
Fritz John and Kuhn-Tucker necessary conditions for weak quasi-efficiency of multiobjective fractional optimization problems with equality, inequality and set constraints are derived. Under asumptions on asymptotic pseudoinvexity of the objective and asymptotic quasiinvexity of constraint functions, sufficient conditions for weak quasi-efficiency are also given together with duality theorems of Wolfe and Mond-Weir types.
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