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WITHDRAWN: A short proof of Nadler’s set-valued contraction principle
WITHDRAWN: A short proof of Nadler’s set-valued contraction principleI Javier Guti´errez Garc´ıa a,∗ , Tomasz Kubiak b a Departamento
de Matem´aticas, Universidad del Pa´ıs Vasco-Euskal Herriko Unibertsitatea, Apdo. 644, 48080, Bilbao, Spain b Wydział Matematyki i Informatyki, Uniwersytet im. Adama Mickiewicza, ul. Umultowska 87, 61-614 Pozna´ n, Poland Received December 10, 2007; accepted January 6, 2009
This article has been withdrawn at the request of the author(s) and/or editor. The Publisher apologizes for any inconvenience this may cause. The full Elsevier Policy on Article Withdrawal can be found at http://www.elsevier.com/locate/withdrawalpolicy.
I Both the authors acknowledge financial support from the Ministry of Education and Science of Spain and FEDER under grant MTM200614925-C02-02. The first named author also acknowledges financial support from the University of the Basque Country under grant GIU07/27. ∗ Corresponding author. E-mail addresses: [email protected] (J. Guti´errez Garc´ıa), [email protected] (T. Kubiak). URL: http://www.ehu.es/javiergutierrezgarcia/ (J. Guti´errez Garc´ıa).
0893-9659/$ - see front matter doi:10.1016/j.aml.2009.01.011
de Matem´aticas, Universidad del Pa´ıs Vasco-Euskal Herriko Unibertsitatea, Apdo. 644, 48080, Bilbao, Spain b Wydział Matematyki i Informatyki, Uniwersytet im. Adama Mickiewicza, ul. Umultowska 87, 61-614 Pozna´ n, Poland Received December 10, 2007; accepted January 6, 2009
This article has been withdrawn at the request of the author(s) and/or editor. The Publisher apologizes for any inconvenience this may cause. The full Elsevier Policy on Article Withdrawal can be found at http://www.elsevier.com/locate/withdrawalpolicy.
I Both the authors acknowledge financial support from the Ministry of Education and Science of Spain and FEDER under grant MTM200614925-C02-02. The first named author also acknowledges financial support from the University of the Basque Country under grant GIU07/27. ∗ Corresponding author. E-mail addresses: [email protected] (J. Guti´errez Garc´ıa), [email protected] (T. Kubiak). URL: http://www.ehu.es/javiergutierrezgarcia/ (J. Guti´errez Garc´ıa).
0893-9659/$ - see front matter doi:10.1016/j.aml.2009.01.011