We develop a theory of non-smooth analysis in infinite dimensional Banach homogenous groups and extend the Fritz John necessary condition for minimizers of a Lipschitz function subject to Lipschitz constraints

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Kevin Rogovin

Dept. of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35(MaD), 40014 Jyväskylä, Finland

kevin.rogovin@gmail.com

K. Rogovin. “Non-Smooth Analysis in Infinite Dimensional Banach Homogenous Groups.” Journal of Convex Analysis 14 (2007), No. 4, 667–691.