The monotone extended second-order cone and mixed complementarity problems
Y Gao, SZ Németh, R Sznajder - Journal of Optimization Theory and …, 2022 - Springer
In this paper, we study a new generalization of the Lorentz cone L^ n_+ L+ n, called the
monotone extended second-order cone (MESOC). We investigate basic properties of …
monotone extended second-order cone (MESOC). We investigate basic properties of …
Linear Complementarity Problem on the Monotone Extended Second Order Cone
Y Gao, SZ Németh, G Zhang - arXiv preprint arXiv:2209.04386, 2022 - arxiv.org
In this paper, we study the linear complementarity problems on the monotone extended
second order cones. We demonstrate that the linear complementarity problem on the …
second order cones. We demonstrate that the linear complementarity problem on the …
Isotonicity of the proximity operator and stochastic optimization problems in Hilbert quasi-lattices endowed with Lorentz cones
D Kong, L Sun, H Chen, Y Wang - Optimization Methods and …, 2022 - Taylor & Francis
In this paper, we discuss the isotonicity of the proximity operator in Hilbert quasi-lattices
endowed with different Lorentz cones. The extended Lorentz cone is first defined by the …
endowed with different Lorentz cones. The extended Lorentz cone is first defined by the …
Cones generated by semi-infinite systems and their applications on optimization
HTK Loan, VD Thinh - Tạp chí Khoa học Đại học Đồng Tháp, 2020 - dthujs.vn
In this paper, we first introduce the cones generated by semi-infinite systems. Then we use
approaches of the semi-infinite programming to obtain formulas of normal cones and …
approaches of the semi-infinite programming to obtain formulas of normal cones and …