Approximating zeros of monotone operators by proximal point algorithms

作者：Qin Xiaolong; Kang Shin Min; Cho Yeol Je^*

来源：Journal of Global Optimization, 2010, 46(1): 75-87.

DOI：10.1007/s10898-009-9410-6

• Nonexpansive mapping
• Fixed point
• Monotone operator
• Zero
• Proximal point algorithm

In this paper, we introduce two kinds of iterative algorithms for the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established in a real Hilbert space. As applications, we consider a problem of finding a minimizer of a convex function.

• 出版日期2010-1