Hybrid extragradient methods for asymptotically strict pseudo-contractions in the intermediate sense and variational inequality problems

作者：Huang Shuechin^*

来源：Optimization, 2011, 60(6): 739-754.

DOI：10.1080/02331934.2010.527340

• Mann iteration
• hybrid extragradient method
• variational inequality
• asymptotically strict pseudo-contraction
• asymptotically strict pseudo-contraction in the intermediate sense
• monotone mapping
• inverse-strongly monotone mapping
• demiclosedness principle

This article is devoted to investigating a new hybrid extragradient method for an asymptotically strict pseudo-contraction in the intermediate sense S and a monotone and Lipschitz continuous mapping A in a Hilbert space. The main purpose is to use this iterative method to generate a sequence for approximating a common element of the fixed point set of S and the solution set of the variational inequality problem for A. Weak convergence and strong convergence for the related sequences are established with respective iteration processes.

• 出版日期2011
• 单位东华大学