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Keywords

infinitesimal
approximation
continuous function
convex set

Abstract

If  and  are convex subsets in , and  in  for all . If the approximation family is the set                         An Infinitesimal approximation of  an element in  established in [4],[5]. A characterization of an infinitesimal approximation, necessary and sufficient conditions for the unique infinitesimal approximation are obtained.  
https://doi.org/10.33899/csmj.2010.163856
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