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math.FA2005
On Gateaux differentiability of pointwise Lipschitz mappings
Jakub Duda
We prove that for every function , where is a separable Banach space and is a Banach space with RNP, there exists a set $A\in\tilde\mcA$ such that is Gateaux…
math.FA2005
Cone monotone mappings: continuity and differentiability
Jakub Duda
We generalize some results of Borwein, Burke, Lewis, and Wang to mappings with values in metric (resp. ordered normed linear) spaces. We define two classes of monotone mappings bet…