On the stability of the solution set mappings to parametric set optimization problems. (English) Zbl 1342.90202
Summary: In this paper, under some suitable assumptions without any involving information on the solution set, we give some sufficient conditions for the upper semicontinuity, lower semicontinuity, and closedness of the solution set mapping to a parametric set optimization problem with possible less order relation.
MSC:
| 90C31 | Sensitivity, stability, parametric optimization |
| 49J40 | Variational inequalities |
| 49K40 | Sensitivity, stability, well-posedness |
Keywords:
upper semicontinuity; lower semicontinuity; closedness; parametric set optimization problem; less order relationReferences:
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