Regular Splittings and Monotone Iteration Functions.
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Peter Volkmann, Götz Alefeld (1985)
Numerische Mathematik
Kim, Jong Kyu, Buong, Nguyen (2010)
Journal of Inequalities and Applications [electronic only]
Luděk Zajíček (2014)
Commentationes Mathematicae Universitatis Carolinae
We present some consequences of a deep result of J. Lindenstrauss and D. Preiss on -almost everywhere Fréchet differentiability of Lipschitz functions on (and similar Banach spaces). For example, in these spaces, every continuous real function is Fréchet differentiable at -almost every at which it is Gâteaux differentiable. Another interesting consequences say that both cone-monotone functions and continuous quasiconvex functions on these spaces are -almost everywhere Fréchet differentiable....
Volker Metz (1996)
Journal für die reine und angewandte Mathematik
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