Results 41 to 50 of about 15,245 (222)
Contemporary MathematicsIn this paper, the approximate boundary controllability of Hilfer fractional neutral stochastic differential inclusions with fractional Brownian motion (fBm) and Clarke’s subdifferential in Hilbert space is discussed.
K. Nandhaprasadh, R. Udhayakumar
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Subdifferential Formulae for the Supremum of an Arbitrary Family of Functions [PDF]
SIAM Journal on Optimization, 2018 This work provides calculus to the subdifferential of the pointwise supremum given by an arbitrary family of lower semicontinuous functions. We start our study using basic properties of the subdifferential, which are satisfied by many subdifferential ...
P. Pérez-Aros
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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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Axioms, 2022 In this paper, we introduce a second-order strong subdifferential of set-valued maps, and discuss some properties, such as convexity, sum rule and so on.
Yuwen Zhai, Qilin Wang, Tian Tang
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Efficient Automatic Subdifferentiation for Programs with Linear Branches
Mathematics, 2023 Computing an element of the Clarke subdifferential of a function represented by a program is an important problem in modern non-smooth optimization.
Sejun Park
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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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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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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
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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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Toward Dynamic Phase‐Field Fracture at Finite Strains
PAMM, 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
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