AUXILIARY PRINCIPLE TECHNIQUES AND MODIFIED PREDICTOR-CORRECTOR ITERATIVE ALGORITHMS FOR SOLVING GENERAL REGULARIZED NONCONVEX VARIATIONAL INEQUALITIES

作者：Balooee Javad^*; Cho Yeol Je^*

来源：Journal of Nonlinear and Convex Analysis, 2017, 18(3): 499-513.

• General regularized nonconvex variational inequalities
• nonconvex sets
• predictor-corrector iterative algorithm
• prox-regularity
• Convergence analysis

The main purpose of this paper is to study a class of nonconvex variational inequalities, named general regularized nonconvex variational inequalities. By using the auxiliary principle technique, we suggest and analyze a new modified predictor-corrector iterative algorithm for solving general regularized nonconvex variational inequalities. Meanwhile, the convergence of the proposed iterative algorithm requires partially mixed relaxed and strong monotonicity property of the operator involved in general regularized nonconvex variational inequalities. As a consequence, we derive the correct versions of the algorithms and results presented in the literature.

• 出版日期2017
• 单位中国医科大学