Results 171 to 180 of about 15,245 (222)

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, Güvenc, İlknur Atasever, Küçük, Mahide   +2 more
openaire   +2 more sources

Formulae for the Conjugate and the Subdifferential of the Supremum Function

Journal of Optimization Theory and Applications, 2017
This paper aims at providing some formulae for the subdifferential and the conjungate function of the supremum function over an arbitrary family of functions.
P. Pérez-Aros
semanticscholar   +1 more source

Approximative quasi-subdifferentials

Optimization, 2007
We introduce a kind of approximative quasi-subdifferential useful for the characterization of quasi-convex, lower semicontinuous functions. The relationship existing between this notion and some quasi-subdifferentials known in the literature is studied.
T. Precupanu, C. Stamate
openaire   +1 more source

Subdifferentiability and Inf-Sup Theorems

Positivity, 1999
The authors present an abstract set of hypotheses yielding the equality \[ \underset{y\in Y}{\text{Sup}} \underset{x\in X} {\text{Inf}} L(x,y)= \underset{x\in X} {\text{Inf}} \underset{y\in Y} {\text{Sup}} L(x,y), \] where \(L\) is an extended-real-valued function defined on the Cartesian product \(X\times Y\).
Moussaoui, Mohammed, Volle, Michel
openaire   +2 more sources

Existence and Convergence Results for an Elastic Frictional Contact Problem with Nonmonotone Subdifferential Boundary Conditions

Acta Mathematica Scientia, 2021
Yongjian Liu, S. Migórski, V. T. Nguyen, Shengda Zeng   +3 more
semanticscholar   +1 more source

Time Optimal Control of a Clarke Subdifferential Type Stochastic Evolution Inclusion in Hilbert Spaces

Applied Mathematics and Optimization, 2021
Zuomao Yan
semanticscholar   +1 more source

Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type

, 2021
K. Kavitha, V. Vijayakumar, A. Shukla, K. Nisar, R. Udhayakumar   +4 more
semanticscholar   +1 more source

Subdifferentiability and the Duality Gap

Positivity, 2002
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Gretsky, N. E., Ostroy, J. M., Zame, W. R.   +2 more
openaire   +1 more source

Conjugates and Subdifferentials

2014
To each type of efficiency for optimization problems it is possible to associate notions of conjugate and subdifferential for vector valued functions or set-valued maps. In this chapter we study the conjugate and the subdifferential corresponding to the strong efficiency as well as the subdifferentials corresponding to the weak and Henig type ...
Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu   +2 more
openaire   +1 more source

Level-Set Subdifferential Error Bounds and Linear Convergence of Bregman Proximal Gradient Method

Journal of Optimization Theory and Applications, 2021
Daoli Zhu, S. Deng, Minghua Li, Lei Zhao
semanticscholar   +1 more source