Relaxed submonotone mappings
Donchev, Tzanko ; Georgiev, Pando
Abstr. Appl. Anal., Tome 2003 (2003) no. 7, p. 19-31 / Harvested from Project Euclid
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The notions of relaxed submonotone and relaxed monotone mappings in Banach spaces are introduced and many of their properties are investigated. For example, the Clarke subdifferential of a locally Lipschitz function in a separable Banach space is relaxed submonotone on a residual subset. For example, it is shown that this property need not be valid on the whole space. We prove, under certain hypotheses, the surjectivity of the relaxed monotone mappings.
Publié le : 2003-01-16
Classification:  47H05 
@article{1050426082,
     author = {Donchev, Tzanko and Georgiev, Pando},
     title = {Relaxed submonotone
mappings},
     journal = {Abstr. Appl. Anal.},
     volume = {2003},
     number = {7},
     year = {2003},
     pages = { 19-31},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050426082}
}

Donchev, Tzanko; Georgiev, Pando. Relaxed submonotone
mappings. Abstr. Appl. Anal., Tome 2003 (2003) no. 7, pp.  19-31. http://gdmltest.u-ga.fr/item/1050426082/