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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 14
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Articles

Stability of minimal solutions to parametric set optimization problems

Pages 2510-2522 | Received 17 May 2017, Accepted 03 Sep 2017, Published online: 15 Sep 2017
 

ABSTRACT

In this paper we study the stability of the minimal solutions of set optimization problems. We provide sufficient conditions for the upper and lower semicontinuity and compactness of the minimal solutions of parametric set optimization problems whose objective values are not necessarily compact.

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Acknowledgements

The author is grateful to the anonymous referees for their valuable comments on the first version of the paper.

Notes

No potential conflict of interest was reported by the author.

Additional information

Funding

This research was in part supported by a grant from IPM [grant number 95800048].

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