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A more robust definition of multiple priors [PDF]

This paper provides a multiple-priors representation of ambiguous beliefs à la Ghirardato, Maccheroni, and Marinacci (2004) and Nehring (2002) for any preference that is (i) monotonic, (ii) Bernoullian, i.e.
Marciano Siniscalchi, Paolo Ghirardato
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On Neumann elliptic problems with discontinuous nonlinearities [PDF]

, 2001
summary:In this paper we study a class of nonlinear Neumann elliptic problems with discontinuous nonlinearities. We examine elliptic problems with multivalued boundary conditions involving the subdifferential of a locally Lipschitz function in the sense ...
Halidias, Nikolaos
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On invex functions with same η in single and multivalued nonsmooth optimization with Clarke's subdifferential

In this paper, a finite family of nonsmooth locally Lipschitz continuous functions that are invex with respect to the same function η are characterized in terms of their scalarized counterparts.
Rinne, Ville, Nikulin, Yury, Mäkelä, Marko +2 more
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APPROXIMATE CONVEXITY AND SUBMONOTONICITY IN LOCALLY CONVEX SPACES Communicated by Mohammad Sal Moslehian [PDF]

, 2010
. We introduce some new concepts of locally Lipschitz mappings, Clarke subdifferential, approximate convexity and submonotonocity in locally convex spaces. We show that, if f is approximately convex and bounded above, then f is locally Lipschitz. We also
A Amini-Harandi, A P Farajzadeh
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Weakened subdifferentials and Frechet differentiability of real functions [PDF]

Let X be a real Banach space and f : X ! R [ {+1}. It is well known that the Clarke subdifferential @ f(x) of the function f at x 2 int dom f is a singleton if and only if f is strongly differentiable (then @ f(x) = {Dsf(x)}, where Dsf(x) is the strong ...
Ginchev Ivan
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Pathological Lipschitz Functions in R N [PDF]

, 2007
In recent years four subdifferential maps have been widely used: the Clarke subdifferential, the Michel--Penot subdifferential, the Ioffe--Mordukhovich --Kruger approximate subdifferential, and the Dini subdifferential. We denote these four notions by `C&
Xianfu Wang
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Subdifferential Calculus for the Value Function in Nonconvex Dynamic Optimization in Banach Spaces [PDF]

This paper explores nonsmooth analysis for infinite-horizon dynamic programming in discrete time without convexity assumptions, exploiting Clarke subdifferentials for locally Lipschitz functions defined on Banach spaces.
SAGARA, Nobusumi
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Using Positive Spanning Sets to Achieve d-Stationarity with the Boosted DC Algorithm. [PDF]