Results 141 to 150 of about 6,730 (164)

Generalized Monotonicity of Subdifferentials and Generalized Convexity

Journal of Optimization Theory and Applications, 1997
A function \(f:X\to {\mathbb{R}}\) defined on a Banach space \(X\) is said to be quasiconvex if \[ \forall x,y\in X, \forall t\in [0,1]: f(x+t(y-x)) \leq \max \{f(x),f(y)\} . \] Given a notion of subdifferential \(\partial f\), the authors provide characterizations of the convexity and quasiconvexity of \(f\) in terms of the monotonicity and ...
Penot, J. P., Sach, P. H.
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$${\text {B}}$$-Subdifferential of the Projection onto the Generalized Spectraplex

Journal of Optimization Theory and Applications, 2022
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Youyicun Lin, Shenglong Hu
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Parallel minimization algorithms by generalized subdifferentiability

Wuhan University Journal of Natural Sciences, 1996
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PERETTI, Alberto, SUTTI, Carla
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On generalized convex functions and generalized subdifferential

Optimization Letters, 2018
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On generalized weak subdifferentials and some properties

Optimization, 2012
In this article, some characterizations for gw-subdifferentiability of functions from ℝ n to ℝ m are stated. Some criteria for gw-subdifferentiability of generalized lower locally Lipschitz functions and positively homogeneous functions are given. Furthermore, it is proved that every Lipschitz function is gw-subdifferentiable at any point in its domain.
Küçük, Yalçın, Güvenc, İlknur Atasever, Küçük, Mahide   +2 more
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Generalized subdifferentials and exhausters in nonsmooth analysis

Doklady Mathematics, 2007
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Dem'yanov, V. F., Roshchina, V. A.
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Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential

Acta Mathematicae Applicatae Sinica, English Series, 2022
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Chai, Yan-fei, Liu, San-yang, Wang, Si-qi   +2 more
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Maximal Monotonicity, Subdifferentials and Generalizations

2001
In 1966 R.T. Rockafellar [14] exploring the operator of subdifferential of convex function on a Banach space revealed that the operator is maximal monotone i.e.
Mirosław Przeworski, Dariusz Zagrodny
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Generalized subdifferentials of the rank function

Optimization Letters, 2012
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Generalized Conditional Joints as Subdifferential Constitutive Models

1985
The paper proposes ''polygonal'' constitutive laws to take note of the changes that develop in the conditional joints of a body. During a loading process new contacts develop or existing connections cease to be valid. The subdifferential-conditional joints proposed here cover the elastic, plastic, hardening, locking and contacting behaviour of ...
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