Zhao Ying, Shi Luoyi, Chen Rudong
Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387 P.R. China.
J Inequal Appl. 2017;2017(1):87. doi: 10.1186/s13660-017-1347-6. Epub 2017 Apr 24.
In this paper, we suggest and analyze a new system of extended regularized nonconvex variational inequalities and prove the equivalence between the aforesaid system and a fixed point problem. We introduce a new perturbed projection iterative algorithm with mixed errors to find the solution of the system of extended regularized nonconvex variational inequalities. Furthermore, under moderate assumptions, we research the convergence analysis of the suggested iterative algorithm.
在本文中，我们提出并分析了一种新的扩展正则化非凸变分不等式系统，并证明了上述系统与一个不动点问题之间的等价性。我们引入了一种具有混合误差的新的扰动投影迭代算法来求解扩展正则化非凸变分不等式系统。此外，在适度假设下，我们研究了所提出的迭代算法的收敛性分析。
