@article{Dong2022, 
author = {Li Dong and Jingyong Tang},
title = {New convergence analysis of a class of smoothing Newton-type methods for second-order cone complementarity problem},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {17612-17627},
keywords = {global convergence, quadratic convergence, second-order cone complementarity problem, smoothing Newton-type method},
url = {https://www.sciopen.com/article/10.3934/math.2022970},
doi = {10.3934/math.2022970},
abstract = {In this paper we propose a class of smoothing Newton-type methods for solving the second-order cone complementarity problem (SOCCP). The proposed method design is based on a special regularized Chen-Harker-Kanzow-Smale (CHKS) smoothing function. When the solution set of the SOCCP is nonempty, our method has the following convergence properties: (ⅰ) it generates a bounded iteration sequence;  (ⅱ) the value of the merit function converges to zero;  (ⅲ) any accumulation point of the generated iteration sequence is a solution of the SOCCP;  (ⅳ) it has the local quadratic convergence rate under suitable assumptions. Some numerical results are reported.}
}