An inertial subgradient-type method for solving single-valued variational inequalities and fixed point problems

作者：Zhang, Lixin; Fang, Changjie^*; Chen, Shenglan

来源：Numerical Algorithms, 2018, 79(3): 941-956.

DOI：10.1007/s11075-017-0468-9

• Inertial subgradient-type method
• Single-valued variational inequalities
• Nonexpansive mapping
• Lipschitz continuous mapping
• Fixed point problems

In this paper, we introduce an inertial subgradient-type algorithm to find the common element of fixed point set of a family of nonexpansive mappings and the solution set of the single-valued variational inequality problem. Under the assumption that the mapping is monotone and Lipschitz continuous, we show that the sequence generated by our algorithm converges strongly to some common element of the fixed set and the solution set. Moreover, preliminary numerical experiments are also reported.

• 出版日期2018-11
• 单位重庆邮电大学