Results 121 to 130 of about 810 (214)

Optimality conditions under relaxed quasiconvexity assumptions using star and adjusted subdifferentials

open access: yes
A set-constrained optimization problem and a mathematical programming problem are considered. We assume that the sublevel sets of the involving functions are convex only at the point under question and hence these functions are not assumed quasiconvex ...
Khanh, Phan Quoc   +2 more
core  

Infimal convolutions and Lipschitzian properties of subdifferentials for prox-regular functions in Hilbert Spaces

open access: yes, 2010
In this paper we study infimal convolutions of extended-real-valued functions in Hilbert spaces paying a special attention to the rather broad and remarkable class of prox-regular functions. Such functions have been well recognized as highly important in
M Bacak (20022657)   +3 more
core  

Subdifferentiation with symmetry

open access: yes
Given an objective function that is invariant under an action of a Lie group, we study how its subgradients relate to the orbits of the action. Our main finding is that they satisfy projection formulae analogous to those stemming from the Whitney and Verdier stratifications. If the function is definable in an o-minimal structure on the real field, then
openaire   +2 more sources

Brondsted-Rockafellar property of subdifferentials of prox-bounded functions

open access: yes, 2013
6 pagesWe provide a new proof that the subdifferential of a proper lower semicontinuous convex function on a Banach space is maximal monotone by adapting the pattern commonly used in the Hilbert setting.
Lassonde, Marc
core  

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