- Optimization and Variational Analysis
- Advanced Optimization Algorithms Research
- Optimization and Mathematical Programming
- Contact Mechanics and Variational Inequalities
- Fixed Point Theorems Analysis
- Sparse and Compressive Sensing Techniques
- Topology Optimization in Engineering
- Matrix Theory and Algorithms
- Mathematical Inequalities and Applications
- Stochastic processes and financial applications
- Numerical methods in inverse problems
- Advanced Numerical Analysis Techniques
- Nonlinear Partial Differential Equations
- Risk and Portfolio Optimization
- Economic theories and models
- Aerospace Engineering and Control Systems
- Transportation Planning and Optimization
- Iterative Methods for Nonlinear Equations
- Fractional Differential Equations Solutions
- Nonlinear Differential Equations Analysis
- Differential Equations and Numerical Methods
- Advanced Control Systems Optimization
- Advanced Multi-Objective Optimization Algorithms
- Optimization and Packing Problems
- Functional Equations Stability Results
Langfang Normal University
2025
Hong Kong Polytechnic University
2015-2024
Collaborative Innovation Center of Chemistry for Energy Materials
2023-2024
University of Science and Technology of China
2007-2024
Qilu Hospital of Shandong University
2022-2024
Affiliated Hospital of Shaanxi University of Chinese Medicine
2022-2024
First People’s Hospital of Zunyi
2024
Zunyi Medical University
2024
Chiba University
2022-2024
Universitat de Lleida
2024
One attempts to give the equivalence and existence of vector complementary problem, variational inequality, extremum weak minimal element problem unilateral minimization in Banach space
In this paper, we consider Levitin--Polyak-type well-posedness for a general constrained optimization problem. We introduce generalized Levitin--Polyak and strongly well-posedness. Necessary sufficient conditions these types of are given. Relations among investigated. Finally, convergence class penalty methods augmented Lagrangian under the assumption
This paper provides a new portfolio selection rule. The objective is to minimize the maximum individual risk and we use an l ∞ function as measure. We provide explicit analytical solution for model are thus able plot entire efficient frontier. Our rule very conservative. One of features that it does not explicitly involve covariance asset returns.
In this paper, the existence of an optimal path and its convergence to set a primal problem minimizing extended real-valued function are established via generalized augmented Lagrangian corresponding problems, in which no convexity is imposed on augmenting function. These results further imply zero duality gap property between dual problem. A necessary sufficient condition for exact penalty representation framework obtained. context constrained programs, we show that Lagrangians present...
In the present paper, we investigate a linearized proximal algorithm (LPA) for solving convex composite optimization problem. Each iteration of LPA is minimization function with inner being at current iterate. The has attractive computational advantage that solution each subproblem singleton, which avoids difficulty as in Gauss--Newton method (GNM) finding minimum norm among set minima its subproblem, while still maintaining same local convergence rate GNM. Under assumptions weak sharp order...
Abstract Emerging evidence demonstrates that pyroptosis has been implicated in the pathogenesis of asthma. Gasdermin D (GSDMD) is executioner. The mechanism GSDMD asthma remains unclear. aim this study was to elucidate potential role asthmatic airway inflammation and remodeling. Immunofluorescence staining conducted on epithelial tissues obtained from both patients healthy controls (HCs) evaluate expression level N-GSDMD. ELISA used measure concentrations cytokines (IL-1β, IL-18, IL-17A,...
The effect of alkali lignin on laccase activity and mycelial biomass Flammulina velutipes was investigated at different fermentation temperatures. secretion by F. has certain specificity. Under most medium conditions, no CCMSSC 00103 detected, but FL 19 could be detected. Among the three strains velutipes, capacity clearly higher than that 05331 00103. Maximum with value 73.42 ± 4.74 U/L secreted in lignin, KH2PO4, Vitamin B1, glucose, appeared 2nd day. presence useful for improving...
The theory of increasing positively homogeneous functions defined on the positive orthant is applied to class decreasing functions. A multiplicative version inf-convolution operation studied for Modified penalty some constrained optimization problems are introduced that in general nonlinear with respect objective function original problem. As perturbation a problem decreasing, subsequently study modified functions, zero duality gap property, and exact penalization.