一类非线性变分包含问题解的存在性和迭代逼近问题

Existence and Iterative Approximation Problem of Solutions for Certain Nonlinear Variational Inclusions

研究了实自反Banach空间中一类具有L ipsch itz条件的强增生型变分包含解的存在性、唯一性及其具有混合误差项的M ann迭代程序的收敛性问题.另一方面,一个相关结果,讨论了一类强增生型变分不等式解的存在性和带有混合误差项的M ann迭代序列的收敛性.结果改进和推广了张石生,曾六川等人的相应结果.

The purpose of this paper is to investigate the existence and uniqueness of solutions and convergence of Mann iterative process with mixed errors for a class of strongly accretive type variational inclusions with Lipschitz condition in real reflexive Banach spaces. On the other hand, a related result discusses the existence of solutions and the convergence of Mann iterative sequences with mixed errors for a class of strongly accretive type variational inequality. The results presented in this paper extend and improve the corresponding results of Chang and Zeng.