Interval Valued Smooth Multiobjective Optimization. Some Optimality Conditions and Duality Results

Interval Valued Smooth Multiobjective Optimization. Some Optimality Conditions and Duality Results

In this paper, first order optimality conditions for certain type of interval valued smooth multiobjective optimization problems are discussed. Also a number of duality results corresponding to this optimization problem are given. The necessary weak and strong optimality conditions are given by using some new regularity conditions and the sufficient optimality conditions and duality results for Wolfe type dual are stated under (ϕ,ρ)−invexity assumptions.

Author(s) Details

Vasile Preda
”Costin C. Kiriescu” National Institute of Economic Research, Bucharest, Romania and ”Gheorghe Mihoc-CaiusIacob”InstituteofMathematicalStatisticsandAppliedMathematics,Bucharest,Romania.

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