Convergence analysis of a modified inexact implicit method for general mixed monotone variational inequalities |
| |
Authors: | Lu-Chuan Zeng Jen-Chih Yao |
| |
Institution: | (1) Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China;(2) Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 804, Taiwan |
| |
Abstract: | We consider a useful modification of the inexact implicit method with a variable parameter in Wang et al. J Optim Theory 111:
431–443 (2001) for generalized mixed monotone variational inequalities. One of the contributions of the proposed method in
this paper is that the restrictions imposed on the variable parameter are weaker than the ones in Wang et al. J Optim Theory
111: 431–443 (2001). Another contribution is that we establish a sufficient and necessary condition for the convergence of
the proposed method to a solution of the general mixed monotone variational inequality. |
| |
Keywords: | General mixed variational inequalities Implicit methods Inexact methods |
本文献已被 SpringerLink 等数据库收录! |