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Article
Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential
In this paper, we investigate dual problems for nonconvex set-valued vector optimization via abstract subdifferential. We first introduce a generalized augmented Lagrangian function induced by a coupling vecto...
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Chapter and Conference Paper
CS-Dict: Accurate Indoor Localization with CSI Selective Amplitude and Phase Based Regularized Dictionary Learning
With the increasingly growing demand for indoor location-based services(LBS) in the field of wireless sensing, Wi-Fi have been the mainstream method in indoor localization for the reasons of easy deployment an...
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Article
Lagrangian methods for optimal control problems governed by a mixed quasi-variational inequality
This paper studies an optimal control problem where the state of the system is defined by a mixed quasi-variational inequality. Several sufficient conditions for the zero duality gap property between the optim...
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Article
Fujita type conditions to heat equation with variable source
This paper studies heat equation with variable exponent u t = Δu + up(x) + u q in ℝ N × (0, T), where p(x) ...
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Article
Trimmed and Winsorized transformed means based on a scaled deviation
This paper introduces the Tukey trimmed and Winsorized means for the transformed data based on a scaled deviation. The trimmed and Winsorized means and scale based on a scaled deviation are as special cases. M...
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Article
Hausdorff operators on Euclidean spaces
Hausdorff operator is an important operator raised from the dilation on Euclidean space and rooted in the classical summability of number series and Fourier series. It is also connected to many well known oper...
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Article
Non-simultaneous quenching for a slow diffusion system coupled at the boundary
This paper deals with the quenching behavior of positive solutions to the Newton filtration equations coupled with boundary singularities. We determine quenching rates for nonsimultaneous quenching at first, a...
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Article
Double-medium constitutive model of geological material in uniaxial tension and compression
Based on elasto-plasticity and damage mechanics, a double-medium constitutive model of geological material under uniaxial tension and compression was presented, on the assumption that rock and soil materials a...