The Continuity of Subdifferential Mapping

Wang, Jingyuan; Chao-Xun, Nan

doi:10.1006/jmaa.1997.5392

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Nearly Uniform Convexity2

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2014

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“…Precisely, the following result holds. Theorem 3.10 ( [17]) For a Banach space X , the following statements are equivalent:…”

Section: Nearly Uniform Convexitymentioning

confidence: 95%

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Geometric properties and continuity of the pre-duality mapping in Banach space

Zhang

Montesinos

Liu

et al. 2014

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Montesinos Santalucia, V.; Liu, CY.; Gong, WZ. (2015). Geometric properties and continuity of the pre-duality mapping in Banach space. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 109 (2) AbstractWe use the preduality mapping in proving characterizations of some geometric properties of Banach spaces. In particular, those include nearly strongly convexity, nearly uniform convexity -a property introduced by K. Goebel and T. Sekowski-, and nearly very convexity.

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“…Precisely, the following result holds. Theorem 3.10 ( [17]) For a Banach space X , the following statements are equivalent:…”

Section: Nearly Uniform Convexitymentioning

confidence: 95%

“…In [17], a characterization of the near uniform convexity of a Banach space was given in terms of the duality mapping on the space X * , i.e., the mapping D from S X * into S X * * . Precisely, the following result holds.…”

Section: Nearly Uniform Convexitymentioning

confidence: 99%