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Set quantities and Tauberian operators

open access: yesAbstract and Applied Analysis, Volume 6, Issue 7, Page 431-440, 2001., 2001
The concept of convexity plays an important role in the classical geometry of normed spaces and it is frequently used in several branches of nonlinear analysis. In recent years some papers that contain generalizations of the concept of convexity with the help of the measures of noncompactness have appeared.
Sergio Falcon, Kishin Sadarangani
wiley   +1 more source

On strictly convex and strictly 2‐convex 2‐normed spaces II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 417-423, 1992., 1992
In this paper a new duality mapping is defined, and it is our object to show that there is a similarity among these three types of characterizations of a strictly convex 2‐normed space. This enables us to obtain more new results along each of two types of characterizations.
C.-S. Lin
wiley   +1 more source
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