Results 31 to 40 of about 15,586 (220)
On the Dini-Hadamard subdifferential of the difference of two functions
, 2010 In this paper we first provide a general formula of inclusion for the Dini-Hadamard epsilon-subdifferential of the difference of two functions and show that it becomes equality in case the functions are directionally approximately starshaped at a given ...
Bot, Radu Ioan, Nechita, Delia-Maria
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Nonsmooth analysis and optimization on partially ordered vector spaces
International Journal of Mathematics and Mathematical Sciences, 1992 Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
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Sufficient Optimality and Sensitivity Analysis of a Parameterized Min-Max Programming
Journal of Applied Mathematics, 2012 Sufficient optimality and sensitivity of a parameterized min-max programming with fixed feasible set are analyzed. Based on Clarke's subdifferential and Chaney's second-order directional derivative, sufficient optimality of the parameterized min-max ...
Huijuan Xiong, Yu Xiao, Chaohong Song
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What are the carbon services from cover‐crop adoption worth from farmers' perspective?
American Journal of Agricultural Economics, EarlyView.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
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
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Characterization of the monotone polar of subdifferentials
, 2013 We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point.
Lassonde, Marc
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On one consequence of the Chebyshev alternance [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThe classical problem of the best approximation of a continuous function by a polynomial over a Chebyshev system of functions is considered. It is known that the solution of the problem is characterized by alternance.
Dudov, Sergei Ivanovitch +1 more
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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
Vector subdifferentials and tangent cones
Journal of Numerical Analysis and Approximation Theory, 2005 Following the Rockafellar's definition for the subdifferential of a real map we define a vector subdifferential using the normal cone to the epigraph of the function.
Cristina Stamate
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RAIRO Oper. Res., 2018 The main aim of this paper is to study strong Karush–Kuhn–Tucker (KKT) optimality conditions for nonsmooth multiobjective semi-infinite programming (MSIP) problems. By using tangential subdifferential and suitable regularity conditions, we establish some
L. Tung
semanticscholar +1 more source