Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings

作者：Wang Ya qin^*

来源：Journal of Zhejiang University-Science A(Applied Physics & Engineering), 2007, 8(12): 2032-2036.

DOI：10.1631/jzus.2007.A2032

• nonexpansive mapping
• iteration scheme with perturbed mapping
• Opial condition
• completely continuous

In this paper, we consider an explicit iteration scheme with perturbed mapping for nonexpansive mappings in real q-uniformly smooth Banach spaces. Some weak and strong convergence theorems for this explicit iteration scheme are established. In particular, necessary and sufficient confiditions for strong convergence of this explicit iteration scheme are obtained. At last, some useful corollaries for strong convergence of this explicit iteration scheme are given.

• 出版日期2007-11
• 单位上海师范大学