Iterative Schemes by a New Generalized Resolvent for a Monotone Mapping and a Relatively Weak Nonexpansive Mapping (Retracted article. See 279526, 2014)

作者：Wang Xian^*; Chen Jun min; Tong Hui

来源：Journal of Applied Mathematics, 2014, 2014: 603186.

DOI：10.1155/2014/603186

We introduce a new generalized resolvent in a Banach space and discuss some of its properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping. Furthermore, strong convergence of the scheme to a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone mapping is proved.

• 出版日期2014
• 单位河北大学