Relative Lipschitz-like property of parametric systems via projectional coderivatives

W Yao, X Yang - SIAM Journal on Optimization, 2023 - SIAM
This paper concerns upper estimates of the projectional coderivative of implicit mappings
and corresponding applications on analyzing the relative Lipschitz-like property. Under …

向量优化及其若干进展

戎卫东, 杨新民 - 运筹学学报, 2014 - ort.shu.edu.cn
在一定的约束条件下极小化或极大化向量值函数, 这就是向量优化. 向量优化是数学规划学科中
的重要分支学科, 是具有重要应用价值的, 新兴的和多学科交叉的研究领域. 自1950 年以来 …

Lipschitz-Like Property for Linear Constraint Systems

W Yao, X Yang - Journal of Optimization Theory and Applications, 2023 - Springer
In this paper, we consider a linear constraint system with a set constraint. We investigate the
Lipschitz-like property of such systems with an explicit set constraint under full perturbations …

Stability and sensitivity analysis of solutions to weak vector variational inequalities

M Li, S Li, Z Fang - Set-Valued and Variational Analysis, 2012 - Springer
The paper mainly concerns the study of a parametric weak vector variational inequality.
Robinson's metric regularity and Lipschitzian stability of the solution mapping for the …

Stability Analysis Of Parametric Generalized Equations And Applications

Y Liu - Asia-Pacific Journal of Operational Research, 2013 - World Scientific
The paper studies the stability of parametric generalized equations (PGE) defined by adding
two set-valued mappings. Under some moderate conditions, the open covering/metric …

[PDF][PDF] Stability analysis of parametric variational systems

S Li, C Liao, M Li - Numerical Algebra, Control and Optimization, 2011 - researchgate.net
In this paper, Robinson's metric regularity of a positive order around/at some point of
parametric variational systems is discussed. Under some suitable conditions, the …

Sensitivity analysis for a Lagrange dual problem to a vector optimization problem

MH Li, CM Liao - Optimization Letters, 2013 - Springer
Sensitivity analysis for a Lagrange dual problem to a vector optimization problem Page 1 Optim
Lett (2013) 7:1837–1846 DOI 10.1007/s11590-012-0526-0 ORIGINAL PAPER Sensitivity …

[引用][C] 含参向量优化问题有效解映射的平静性

邓杰, 寇喜鹏 - 四川大学学报: 自然科学版, 2014

[引用][C] 无可微性和凸性包含问题的误差界

徐述 - 重庆工商大学学报: 自然科学版, 2013

[引用][C] Numerical Algebra, Control and Optimization (NACO)

ZZ Bai, D Li, H Luo, G Wang, Z Wu, Z Zheng, X Cai