Tzanko Donchev, Pando Georgiev, "Relaxed submonotone mappings", Abstract and Applied Analysis, vol. 2003, Article ID 417412, 13 pages, 2003. https://doi.org/10.1155/S1085337503206011
Relaxed submonotone mappings
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.
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