UPPER AND LOWER DIRECTIONAL DERIVATIVE SETS AND DIFFERENTIALS OF THE SET VALUED MAPS
, 2022 In this paper directional derivative sets and differentials of a given set valued map are studied. Different type relations between directional derivative sets and differentials of a set valued map are specified.
Ege, N. +5 more
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Maximal monotone operators with non-maximal graphical limit
Examples and Counterexamples, 2022 We present a counterexample showing that the graphical limit of maximally monotone operators might not be maximally monotone. We also characterize the directional differentiability of the resolvent of an operator B in terms of existence and maximal ...
Gerd Wachsmuth
doaj +1 more source
A variational inequality for the derivative of the scalar play operator [PDF]
, 2021 We show that the directional derivative of the scalar play operator is the unique solution of a certain variational inequality. Due to the nature of the discontinuities involved, the variational inequality has an integral form based on the Kurzweil ...
Brokate, Martin, Krejčí, Pavel
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Adaptive multi-channel MAC protocol for dense VANET with directional antennas [PDF]
, 2009 Directional antennas in Ad hoc networks offer more benefits than the traditional antennas with omni-directional mode. With directional antennas, it can increase the spatial reuse of the wireless channel.
Xie, Xu +7 more
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Nonlinear Sherman-type inequalities
Advances in Nonlinear Analysis, 2018 An important class of Schur-convex functions is generated by convex functions via the well-known Hardy–Littlewood–Pólya–Karamata inequality. Sherman’s inequality is a natural generalization of the HLPK inequality.
Niezgoda Marek
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JetGP: A derivative enhanced Gaussian process library
SoftwareXDerivative enhanced Gaussian Processes (DEGPs) can significantly improve surrogate model accuracy over standard Gaussian Process (GP) formulations by incorporating derivative information.
Samuel Roberts +5 more
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A Fundamental Theorem of Calculus for Second-order Directional Derivative [PDF]
, 2023 Given a two-variable function $f$ without critical points and a compact region $R$ bounded by two level curves of $f$, this note proves that the integral over $R$ of the second-order directional derivative of $f$ in the tangential directions of the ...
Ding, Pisheng
core
Interval-Valued Optimization Problems Involving α,ρ-Right Upper-Dini-Derivative Functions
The Scientific World Journal, 2014 We consider an interval-valued multiobjective problem. Some necessary and sufficient optimality conditions for weak efficient solutions are established under new generalized convexities with the tool-right upper-Dini-derivative, which is an extension of ...
Vasile Preda
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Regularity Criterion for Weak Solution to the 3D Micropolar Fluid Equations
Journal of Applied Mathematics, 2011 Regularity criterion for the 3D micropolar fluid equations is investigated.
Yu-Zhu Wang, Zigao Chen
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Non-homogeneous directional equations: Slice solutions belonging to functions of bounded $L$-index in the unit ball [PDF]
Mathematica BohemicaFor a given direction $ b\in\mathbb{C}^n\setminus\{0\}$ we study non-homogeneous directional linear higher-order equations whose all coefficients belong to a class of joint continuous functions which are holomorphic on intersection of all directional ...
Andriy Bandura +2 more
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