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Periodic Stability for Nonlinear Systems Generated by Time-Dependent Subdifferentials

open access: yesPeriodic Stability for Nonlinear Systems Generated by Time-Dependent Subdifferentials
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Generalized weak subdifferentials

Optimization, 2011
In this article, generalized weak subgradient (gw-subgradient) and generalized weak subdifferential (gw-subdifferential) are defined for nonconvex functions with values in an ordered vector space. Convexity and closedness of the gw-subdifferential are stated and proved.
Küçük, Yalçın   +2 more
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B-Subdifferentials of the Projection onto the Generalized Simplex

Asia-Pacific Journal of Operational Research, 2021
In this paper, a complete characterization of the B-subdifferential of the projection onto the generalized simplex is given. This work is accomplished with the help of Han–Sun Jacobian, whose full characterization is also given in this case. The characterizations are given with simple and explicit formulae in terms of the active index set of the ...
Lin, Youyicun, Hu, Shenglong
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