supported by the National Natural Science Foundation of China(12125108,11971466,11991021,11991020,12021001,and 12288201);Key Research Program of Frontier Sciences,Chinese Academy of Sciences(ZDBS-LY-7022);the CAS-Croucher Funding Scheme for Joint Laboratories“CAS AMSS-PolyU Joint Laboratory of Applied Mathematics:Nonlinear Optimization Theory,Algorithms and Applications”.
In a mathematical program with generalized complementarity constraints(MPGCC),complementarity relation is imposed between each pair of variable blocks.MPGCC includes the traditional mathematical program with complemen...
In this paper, we investigate local properties in the system of completely 1-summing mapping spaces. We introduce notions of injectivity, local reflexivity, exactness, nuclearity and finite-representability in the sys...
As for the affine energy, Edir Junior and Ferreira Leite establish the existence of minimizers for particular restricted subcritical and critical variational issues on BV(Ω). Similar functionals exhibit deeper weak* ...
National Natural Science Foundation of China (Grant No. 11871423)。
This study aims to introduce the notions of injectivity, local reflexivity, exactness, and nuclearity in the system(Γ2c(·, ·), γ2c(·)). We find that every dual operator space is injective in the system(Γ2c(·, ...
The exact minimax penalty function method is used to solve a noncon- vex differentiable optimization problem with both inequality and equality constraints. The conditions for exactness of the penalization for the exac...
supported by National Science Foundation for Post-doctoral Scientists of China (Grant No.20090450603);National Natural Science Foundation of China (Grant No.10771015)
We define a class of confidence bands for distribution functions,named simple confidence bands.The class of bands includes the common step bands and continuous bands,some of which may perform better than the smoothed ...
In this paper, HFEM is proposed to investigate the circular arch problem. Optimal error estimates are derived, some superconvergence results are established, and an asymptotic exactness posteriori error estimator is p...