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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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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Ball-Catching System Using Image Processing and an Omni-Directional Wheeled Mobile Robot
Sensors, 2021 The ball-catching system examined in this research, which was composed of an omni-directional wheeled mobile robot and an image processing system that included a dynamic stereo vision camera and a static camera, was used to capture a thrown ball.
Sho-Tsung Kao, Ming-Tzu Ho
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Corner detection and classification using anisotropic directional derivative representations
, 2013 This paper proposes a corner detector and classifier using anisotropic directional derivative (ANDD) representations. The ANDD representation at a pixel is a function of the oriented angle and characterizes the local directional grayscale variation ...
Shui, PL, Zhang, WC
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An accelerated directional derivative method for smooth stochastic convex optimization [PDF]
, 2018 We consider smooth stochastic convex optimization problems in the context of algorithms which are based on directional derivatives of the objective function.
Dvurechensky, Pavel +2 more
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Characterizations of Stability of Error Bounds for Convex Inequality Constraint Systems
Open Journal of Mathematical Optimization, 2022 In this paper, we mainly study error bounds for a single convex inequality and semi-infinite convex constraint systems, and give characterizations of stability of error bounds via directional derivatives. For a single convex inequality, it is proved that
Wei, Zhou, Théra, Michel, Yao, Jen-Chih
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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Directional Derivatives of Oblique Reflection Maps [PDF]
Mathematics of Operations Research, 2010 Given an oblique reflection map Γ and functions [Formula: see text] (the space of ℝK-valued functions that have finite left and right limits at every point), the directional derivative [Formula: see text] of Γ along χ, evaluated at ψ, is defined to be the pointwise limit, as [Formula: see text], of the family of functions [Formula: see text ...
Avi Mandelbaum, Kavita Ramanan
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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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Vietnam Journal of Mechanics, 2006 Two approximation methods (the Green's theorem technique and the directional derivative technique) of spatial derivatives have been proposed for finite differences on unstructured triangular meshes. Both methods have the first order accuracy.
Nguyen Duc Lang, Tran Gia Lich, Le Duc
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