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A note of stability of weakly efficient solution set for optimization with set-valued maps. (English) Zbl 1059.90135

The paper concentrates on the stability of the set of weakly efficient solutions for optimization problems with set-valued functions and shows that most problems with set-valued functions are stable. So-called essential weakly efficient solutions and essential components of weakly efficient solution sets are introduced and sufficient conditions for their existence are presented.

MSC:

90C31 Sensitivity, stability, parametric optimization
90C29 Multi-objective and goal programming
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