Results 31 to 40 of about 810 (214)

On Fréchet Subdifferentials

Journal of Mathematical Sciences, 2003
The author gives a survey (with over 100 references) about the theory of Fréchet subdifferentiation in Banach spaces. After the definitions of Fréchet subdifferentials (and superdifferentials) of real-valued functions, Fréchet normal cones of sets and Fréchet coderivatives of set-valued mappings, the most important properties of these notions are ...
openaire   +3 more sources

Sparse Minimum Redundancy Maximum Relevance for Feature Selection

Scandinavian Journal of Statistics, EarlyView.
ABSTRACT We propose a feature screening method that integrates both feature–feature and feature–target relationships. Inactive features are identified via a penalized minimum Redundancy Maximum Relevance (mRMR) procedure, which is the continuous version of the classical mRMR penalized by a non‐convex regularizer, and where the parameters estimated as ...
Peter Naylor, Benjamin Poignard, Héctor Climente‐González, Makoto Yamada   +3 more
wiley   +1 more source

Upscaling the Strength Domain of Heterogeneous Cohesive‐Frictional Materials via a General FFT‐Based Limit Analysis Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley   +1 more source

Subdifferentials of distance functions in Banach spaces. [PDF]

, 2010
Ng, Kwong Wing.Thesis (M.Phil.)--Chinese University of Hong Kong, 2010.Includes bibliographical references (p. 123-126).Abstracts in English and Chinese.Abstract --- p.iAcknowledgments --- p.iiiContents --- p.vIntroduction --- p.viiChapter 1 ...

core  

Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation

Journal of Applied Mathematics, 2014
We consider an abstract Cauchy problem for a doubly nonlinear evolution equation of the form d/dt𝒜u+ℬu∋ft in V′, t∈0, T, where V is a real reflexive Banach space, 𝒜 and ℬ are maximal monotone operators (possibly multivalued) from V to its dual V′.
Ning Su, Li Zhang
doaj   +1 more source

On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng, Robert Lasarzik, Marita Thomas   +2 more
wiley   +1 more source

Optimal control of doubly nonlinear evolution equations governed by subdifferentials without uniqueness of solutions [PDF]

, 2015
In this paper we study an optimal control problem for a doubly nonlinear evolution equation governed by time-dependent subdifferentials. We prove the existence of solutions to our equation.
Farshbaf-Shaker, M., Hassan, Yamazaki, Noriaki, Farshbaf-Shaker, M. Hassan, Noriaki Yamazaki, Farshbaf Shaker, Mohammad Hassan, M. Hassan Farshbaf-Shaker   +5 more
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On Approximate Variational Inequalities and Bilevel Programming Problems

Axioms
In this paper, we investigate a class of bilevel programming problems (BLPP) in the framework of Euclidean space. We derive relationships among the solutions of approximate Minty-type variational inequalities (AMTVI), approximate Stampacchia-type ...
Balendu Bhooshan Upadhyay, Ioan Stancu-Minasian, Subham Poddar, Priyanka Mishra   +3 more
doaj   +1 more source

Analysis of a Viscoplastic Burgers Equation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We study a Burgers equation featuring an additional stress term that is governed by a positively 1$\hskip.001pt 1$‐homogeneous potential. This problem is motivated by the so‐called Hibler's sea ice model, which treats sea ice as a non‐Newtonian fluid, where the stress tensor includes such a term in order to account for the plastic response of ...
Marita Thomas, Xin Liu, Edriss Titi
wiley   +1 more source

Enlargements of Monotone Operators Determined by Representing Function

Journal of Mathematical Extension, 2012
In this paper, we study a new enlargement of subdifferential for any proper lower semicontinuous function. We know that ε-subdifferential of any proper lower semicontinuous function is an enlargement of its subfifferential and any point from the graph
M. Rezaei
doaj