Quasimonotone embedding of one-sided Lipschitz continuous functions

Autores: Gerd Herzog
Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 101, Nº 2, 2007, págs. 238-248
Idioma: inglés
DOI: 10.7146/math.scand.a-15042
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Resumen
- We prove that one-sided Lipschitz continuous functions can be embedded into quasimonotone increasing functions, in a quite natural way. As a consequence of this result, quasimontonicity methods can be used to study initial and boundary value problems in Banach spaces if one-sided Lipschitz continuous functions are involved.