KETERDIFERENSIALAN FUNGSI LIPSCHITZ DI DALAM RUANG BERNORMA; DIFFERENTIABILITY OF LIPSCHITZ FUNCTIONS IN NORMED SPACES

DWI NUR YUNIANTI, Rini Indrati

2011 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

In this thesis, we discuss about the connection between Lipschitz functions and differentiable functions on normed spaces. First, we investigate the connection between Frechet differentiable functions and Gateaux differentiable functions. Next, we investigate the connection between Lipschitz functions and Fréchet differentiable functions, and the connection between Lipschitz functions and Gateaux differentiable functions by properties of the Radon Nikodym (Radon Nikodym Property or RNP).

Kata Kunci : fungsi Lipschitz;fungsi yang terdiferensial pada ruang bernorma