Counterexamples on some articles on quasi-variational inclusion problems

Counterexamples on some articles on quasi-variational inclusion problems

In this paper, by counterexamples, we show that Proposition 3.1 in [5] which has a crucial role for proving the main results is not correct. Also, we give counterexamples, which show that some claims in the proof of the main results in [7, 12] are not valid. Finally, by applying some slightly modifi...

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Veröffentlicht in:Journal of global optimization 2011-04, Vol.49 (4), p.707-712
Hauptverfasser: Mohebi, H., Vatandoost, M.
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science
Mapping
Mathematics
Mathematics and Statistics
Neighborhoods
Operations Research/Decision Theory
Optimization
Real Functions
Studies
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Zusammenfassung:In this paper, by counterexamples, we show that Proposition 3.1 in [5] which has a crucial role for proving the main results is not correct. Also, we give counterexamples, which show that some claims in the proof of the main results in [7, 12] are not valid. Finally, by applying some slightly modifications, we claim that these results can be proved in a similar manner.
ISSN:0925-5001
1573-2916
DOI:10.1007/s10898-010-9559-z