Results 61 to 70 of about 1,032 (207)
Calculus of directional subdifferentials and coderivatives in Banach spaces
, 2017 In this work we study the directional versions of Mordukhovich normal cones to nonsmooth sets, coderivatives of set-valued mappings, and subdifferentials of extended-real-valued functions in the framework of general Banach spaces.
Wang, Bingwu, Long, Pujun, Yang, Xinmin
core +1 more source
Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-Valued Mappings [PDF]
, 1996 The paper contains calculus rules for coderivatives of compositions, sums and intersections of set-valued mappings. The types of coderivatives considered correspond to Dini-Hadamard and limiting Dini-Hadamard subdifferentials in Gˆateaux differentiable ...
Penot, Jean-Paul, Ioffe, Alexander
core +1 more source
What are the carbon services from cover‐crop adoption worth from farmers' perspective?
American Journal of Agricultural Economics, Volume 108, Issue 3, Page 901-925, May 2026.Abstract We derive shadow prices of carbon services provided by cover crops relative to non‐cover‐crop agricultural practices, accounting for carbon sequestration and greenhouse gas (GHG) emissions. We model the agricultural technology by integrating crop production, carbon sequestration, and GHG emissions.
Saurav Raj Kunwar +3 more
wiley +1 more source
Almost periodic solutions of differential inclusions governed by subdifferentials
Electronic Journal of Differential Equations, 2016 Sufficient conditions are given to ensure the existence and eventually the uniqueness of bounded and almost periodic solutions of evolution equations governed by subdifferential operators.
Karim El Mufti
doaj
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2135-2160, 15 March 2026.ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
wiley +1 more source
Time dependent evolution inclusions governed by the difference of two subdifferentials
Electronic Journal of Qualitative Theory of Differential Equations, 2012 The purpose of this paper is to study evolution inclusions involving time dependent subdifferential operators which are non-monotone. More precisely, we study existence of solutions for the following evolution equation in a real Hilbert space $X$~: $u ...
S. Guillaume
doaj +1 more source
Applied Stochastic Models in Business and Industry, Volume 42, Issue 2, March/April 2026.ABSTRACT The so‐called algorithmic bias is a hot topic in the decision‐making process based on Artificial Intelligence, especially when demographics, such as gender, age or ethnic origin, come into play. Frequently, the problem is not only in the algorithm itself, but also in the biased data that feed the algorithm, which is just the reflection of the ...
Elena M. De‐Diego +2 more
wiley +1 more source
Optimality conditions in nonconvex optimization via weak subdifferentials
, 2011 In this paper we study optimality conditions for optimization problems described by a special class of directionally differentiable functions. The well-known necessary and sufficient optimality condition of nonsmooth convex optimization, given in the ...
Musa Mammadov (13085340) +1 more
core +2 more sources
Toward Dynamic Phase‐Field Fracture at Finite Strains
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT We investigate the evolution of dynamic phase‐field fracture in the finite‐strain setting, extending our previous work in the small‐strain viscoelastodynamic regime. The elastodynamic equations are coupled with a dissipative damage evolution for the phase‐field variable z$z$.
Sven Tornquist +4 more
wiley +1 more source
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source