Banach空间中的相对非扩张映射和变分包含的强收敛定理

Strong Convergence Theorems for Relatively Nonexpansive Mappings and Variational Inclusions in Banach Spaces

这篇论文主要考虑了相对非扩张映射的不动点问题和关于逆强增生映射和m-增生映射的变分包含问题;我们建立了一类新的迭代方法来逼近这两个问题的公共解,证明了这一迭代序列强收敛到这两个问题的公共解.

the set of fixe variational inc this paper,we consider an iterative scheme for finding a common element of points of a relatively nonexpansive mapping and the set of solutions of the sion for an inverse-strongly accretive mapping and m-accretive mapping in a real Banach space. Then we show that the sequence converges strongly to a common element of two sets.