Some results for one class of discontinuous operators with fixed points.
Morales, R., Rojas, E. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Morales, R., Rojas, E. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Mitani, Ken-Ichi, Saito, Kichi-Suke (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Sababheh, M., Khalil, R. (2009)
The Journal of Nonlinear Sciences and its Applications
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Tomás Domínguez Benavides (2002)
Extracta Mathematicae
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Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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Abdelhakim Maaden (2001)
Extracta Mathematicae
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Matsak, Ivan, Plichko, Anatolij (2002)
Georgian Mathematical Journal
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Nikolova, L., Zachariades, T. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Matkowski, Janusz (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Alpay, Safak, Ercan, Zafer (2006)
Sibirskij Matematicheskij Zhurnal
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Gilles Godefroy, V. Indumathi (2001)
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In any dual space X*, the set QP of quasi-polyhedral points is contained in the set SSD of points of strong subdifferentiability of the norm which is itself contained in the set NA of norm attaining functionals. We show that NA and SSD coincide if and only if every proximinal hyperplane of X is strongly proximinal, and that if QP and NA coincide then every finite codimensional proximinal subspace of X is strongly proximinal. Natural examples and applications are provided.
Michels, C. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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