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Weak sharp minima in multiobjective optimization. (English) Zbl 1227.90036

Summary: We extend some necessary and sufficient conditions for strict local Pareto minima of order \(m\) obtained by B. JimĂ©nez [J. Math. Anal. Appl. 265, No. 2, 264–284 (2002; Zbl 1010.90075)] to the case of weak \(\psi\)-sharp local Pareto minima, i.e., to the case when the local solution is not necessarily unique.

MSC:

90C29 Multi-objective and goal programming
90C46 Optimality conditions and duality in mathematical programming

Citations:

Zbl 1010.90075
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